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Finding the Third Proportional to 488,584,713 and 1,064,960,463

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Solution

The third proportional to 488,584,713 and 1,064,960,463 is: 2,321,277,677.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,584,713 : 1,064,960,463 = 1,064,960,463 : x
  2. Step 2: Convert to fraction form
    488,584,713/1,064,960,463 = 1,064,960,463/x
  3. Step 3: Cross multiply
    488,584,713x = 1,064,960,463 × 1,064,960,463
  4. Step 4: Simplify right side
    488,584,713x = 1,134,140,787,753,174,400
  5. Step 5: Solve for x
    x = 1,134,140,787,753,174,400/488,584,713
  6. Step 6: Final answer
    x = 2,321,277,677.29

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.