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Assuming you mean consecutive numbers are integers, then:

The integers will be the two integers between which the square root of 1722 lies.

Calculating the square root of 1722 using the "long" division method:

________4__1

_____----------

___4|_17_22

_______16

_______---

__81|__122

__________81

__________---

__________41

The square root of 1722 is 41.<something>, thus it lies between 41 and 42, so:

1722 = 41 × 42

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Q: What two consecutive numbers have a product of 1722?
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