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First identified by the<jats:italic>Kepler<\/jats:italic>team as a promising candidate from the photometry of the<jats:italic>Kepler<\/jats:italic>spacecraft, we establish here its planetary nature from the radial velocity follow-up secured over 2 yr with the SOPHIE spectrograph at Observatoire de Haute-Provence, France. The combined analysis of the whole dataset allows us to fully characterize this new planetary system. KOI-3680b has an orbital period of 141.2417 \u00b1 0.0001 days, a mass of 1.93 \u00b1 0.20<jats:italic>M<\/jats:italic><jats:sub>Jup<\/jats:sub>, and a radius of 0.99 \u00b1 0.07<jats:italic>R<\/jats:italic><jats:sub>Jup<\/jats:sub>. It exhibits a highly eccentric orbit (<jats:italic>e<\/jats:italic>= 0.50 \u00b1 0.03) around an early G dwarf. 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