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Simple Multiplication

Unreviewed import — a classic from the public domain; its solution has not been machine-checked yet.

math
If we number six cards 1, 2, 4, 5, 7, and 8, and arrange them on the table in this order:-- 1 4 2 8 5 7 We can demonstrate that in order to multiply by 3 all that is necessary is to remove the 1 to the other end of the row, and the thing is done. The answer is 428571. Can you find a number that, when multiplied by 3 and divided by 2, the answer will be the same as if we removed the first card (which in this case is to be a 3) From the beginning of the row to the end?

Solution

Commit an attempt to unseal the proof. Write your answer — right or wrong, thinking it through is the point.

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