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Bring water to a boil in a medium sized pot.
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Stir in the rice and reduce heat to low.
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Cover and cook for approximately 10 minutes or until water is absorbed (stirring occasionally),.
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In a separate saucepan, heat the coconut milk over medium heat until hot but not boiling.
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Add the brown sugar and stir until dissolved.
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Add 1/2 of the coconut milk mixture to the cooked rice.
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Let the rice stand for about 15-20 minutes.
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Then add the diced pineapple and remainder of the coconut milk to the rice.
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Optional: added a sprinkle of cinnamon to the top of the rice when serving.