Color differences between Lightroom 4 and Photoshop CS5

Hi, I am on a Mac Pro OS 10.6.8 and see small but unacceptable color differences between images displayed in Lightroom 4 and in Photoshop CS 5.1. The same image exported from Lightroom and displayed in Photoshops is a little bit more saturated, grey gets a bluish touch, green is more intensive, and so on. I am using ProPhoto RGB as working space for Photoshop and export files as tiff from Lightroom in ProPhoto RGB. My Cinema Display is color managed with i1 Profier (Bradford ICC Version 2). Any help would be greatly appreciated Peter Baumbach