# Nice to meet you, 1/a!

Algebra Level pending

Let $$a,b,c$$ three distinct nonzero real numbers such that

$a+\frac { 1 }{ b } =b+\frac { 1 }{ c } =c+\frac { 1 }{ a }$

find $$\left| abc \right|$$

This question is flagged because such a scenario cannot occur, which makes the question pointless.

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