If \( \log _{b} a \cdot \log _{c} a+\log _{a} b \cdot \log _{c} b+\log _{a} c \cdot \log _{b} c=....

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If \( \log _{b} a \cdot \log _{c} a+\log _{a} b \cdot \log _{c} b+\log _{a} c \cdot \log _{b} c=3 \)
\( \mathrm{P} \)
(where \( a, b, c \) are different positive real numbers
W
\( \neq 1 \) ), then find the value of \( a b c \).


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