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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+2+3=1\times 2\times 3.1+2+3=1×2×3.
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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