Joining Returns Duplicate Rows - sql-server

Question

I'm having problems figuring out how to reconcile records against two tables. Table 1 will contain records from one system and Table 2 will contain records from another system. Both tables will have an ID column unique to itself. It's possible that Table 1 will contain similar records, but with a different ID and the same for Table 2.
Table 1
ID | Acct_Num | Amount | Dt
---------+-----------+---------+-------------
96 | 5836 | 75 | 2020-04-02
100 | 5836 | 75 | 2020-04-02
Table 2
ID | Acct_Num | Amount | Dt
---------+-----------+---------+-------------
3 | 5836 | 75 | 2020-04-02
39 | 5836 | 75 | 2020-04-03
When I try to join on Acct_Num and Amount, the result returns 4 records, both records in Table 1 matching to both records in Table2.
SELECT * FROM Table1 t1 INNER JOIN Table 2 ON t1.Acct_Num = t2.Acct_Num AND t1.Amount = t2.Amount
ID | Acct_Num | Amount | Dt | ID | Acct_Num | Amount | Dt
---------+-----------+---------+-------------+-----------+-----------+---------+-------------
96 | 5836 | 75 | 2020-04-02 | 3 | 5836 | 75 | 2020-04-02
96 | 5836 | 75 | 2020-04-02 | 39 | 5836 | 75 | 2020-04-03
100 | 5836 | 75 | 2020-04-02 | 3 | 5836 | 75 | 2020-04-02
100 | 5836 | 75 | 2020-04-02 | 39 | 5836 | 75 | 2020-04-03
I understand this is how joins work, but what I'm looking to accomplish is to have a record on the left to match with just one record on the right. I don't care which one. The next record on the left will then match against the next available record on the right. Ending result as:
ID | Acct_Num | Amount | Dt | ID | Acct_Num | Amount | Dt
---------+-----------+---------+-------------+-----------+-----------+---------+-------------
96 | 5836 | 75 | 2020-04-02 | 3 | 5836 | 75 | 2020-04-02
100 | 5836 | 75 | 2020-04-02 | 39 | 5836 | 75 | 2020-04-03
I'm a bit lost on how I could accomplish this. Any suggestion would be helpful!

Answer 1

If you really don't care how the records get paired up, we could try doing a full outer join using ROW_NUMBER ordered by the ID column:
WITH cte1 AS (
SELECT *, ROW_NUMBER() OVER (PARTITION BY Acct_Num ORDER BY ID) rn
FROM Table1
),
cte2 AS (
SELECT *, ROW_NUMBER() OVER (PARTITION BY Acct_Num ORDER BY ID) rn
FROM Table2
)
SELECT t1.ID, t1.Acct_Num, t1.Amount, t1.Dt, t2.ID, t2.Acct_Num, t2.Amount, t2.Dt
FROM cte1 t1
FULL OUTER JOIN cte2 t2
ON t1.Acct_Num = t2.Acct_Num AND
t1.rn = t2.rn
ORDER BY
t1.Acct_Num,
t1.ID;
Demo