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Finding the Third Proportional to 459,902,286 and 689,684,544

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Solution

The third proportional to 459,902,286 and 689,684,544 is: 1,034,273,550.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,902,286 : 689,684,544 = 689,684,544 : x
  2. Step 2: Convert to fraction form
    459,902,286/689,684,544 = 689,684,544/x
  3. Step 3: Cross multiply
    459,902,286x = 689,684,544 × 689,684,544
  4. Step 4: Simplify right side
    459,902,286x = 475,664,770,232,487,936
  5. Step 5: Solve for x
    x = 475,664,770,232,487,936/459,902,286
  6. Step 6: Final answer
    x = 1,034,273,550.52

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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.