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Finding the Third Proportional to 482,856,152 and 765,839,756

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Solution

The third proportional to 482,856,152 and 765,839,756 is: 1,214,669,274.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,856,152 : 765,839,756 = 765,839,756 : x
  2. Step 2: Convert to fraction form
    482,856,152/765,839,756 = 765,839,756/x
  3. Step 3: Cross multiply
    482,856,152x = 765,839,756 × 765,839,756
  4. Step 4: Simplify right side
    482,856,152x = 586,510,531,870,139,520
  5. Step 5: Solve for x
    x = 586,510,531,870,139,520/482,856,152
  6. Step 6: Final answer
    x = 1,214,669,274.57

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.