A is logically equivalent to B if A→B and B→A both are tautology.

Rule- If A^B→C is valid, if we make C false then at least one of A and B, must be false.

Using this rule if you check, then you will find

(p → q) ∧ (q → r)→(p → r) is tautology.

(p → r)→(p → q) ∧ (q → r) is not tautology.

So not equivalent.