if `a+1/b = b + 1/c = c+1/a` (where `a!= b!=c)` then abc is equal to ?

Explanation

`a+1 / b=b+1 / c `


`\Rightarrow(a-b)=(b-c) / b c `


`a+1 / b=c+1 / a `


`\Rightarrow(a-c)=(b-a) / b a \quad \cdots(2) `


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