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Finding the Third Proportional to 484,491,105 and 1,062,780,732

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Solution

The third proportional to 484,491,105 and 1,062,780,732 is: 2,331,318,103.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,491,105 : 1,062,780,732 = 1,062,780,732 : x
  2. Step 2: Convert to fraction form
    484,491,105/1,062,780,732 = 1,062,780,732/x
  3. Step 3: Cross multiply
    484,491,105x = 1,062,780,732 × 1,062,780,732
  4. Step 4: Simplify right side
    484,491,105x = 1,129,502,884,310,455,808
  5. Step 5: Solve for x
    x = 1,129,502,884,310,455,808/484,491,105
  6. Step 6: Final answer
    x = 2,331,318,103.99

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.