Addition Equals Multiplication

Algebra Level 3

There is a triplet of positive numbers such that their sum and their product are equal, for example, (1,2,3):(1, 2, 3): 1+2+3=1×2×3.1+2+3=1\times 2\times 3.

True or False?

There are infinitely many triplets of positive numbers (not necessarily integers) such that their sum and their product are equal.

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