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The pair appear to be on a hiking trip, with McCain wearing a navy legionnaires cap, a blue t-shirt and a pair of sunglasses hanging from it.
Meghan flashes the same smile as her dad in the photo, which she captioned: "Happy Fathers Day @SenJohnMcCain - you’re the greatest father in the world. I love you more than I can ever say.
"Thank you for always giving me something to believe in."