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A spaceship of mass 2.20 × 10⁶ kilogram is cruising at a speed of 4.70 × 10⁶ m/s when the antimatter reactor fails, blowing the ship into three pieces. One section, having a mass of 4.90 × 10⁵ kilogram, is blown straight backward with a speed of 2.20 × 10⁶ m/s. A second piece, with mass 8.50 × 10⁵ kilogram continues forward at 1.20 × 10⁶ m/s. Evaluate the speed of the third piece?

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