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Finding the Third Proportional to 459,902,484 and 689,684,814

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Solution

The third proportional to 459,902,484 and 689,684,814 is: 1,034,273,915.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,902,484 : 689,684,814 = 689,684,814 : x
  2. Step 2: Convert to fraction form
    459,902,484/689,684,814 = 689,684,814/x
  3. Step 3: Cross multiply
    459,902,484x = 689,684,814 × 689,684,814
  4. Step 4: Simplify right side
    459,902,484x = 475,665,142,662,214,592
  5. Step 5: Solve for x
    x = 475,665,142,662,214,592/459,902,484
  6. Step 6: Final answer
    x = 1,034,273,915.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.