The Ramsey number for a triple of long even cycles

We show that for any real positive numbers α1, α2, α3 the Ramsey number for a triple of even cycles of lengths 2⌊α1n⌋, 2⌊α2n⌋, 2⌊α3n⌋, respectively, is (asymptotically) equal to (α1+α2+α3+max{α1,α2,α3}+o(1))n.