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Finding the Third Proportional to 459,395,042 and 706,123,098

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Solution

The third proportional to 459,395,042 and 706,123,098 is: 1,085,361,799.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,395,042 : 706,123,098 = 706,123,098 : x
  2. Step 2: Convert to fraction form
    459,395,042/706,123,098 = 706,123,098/x
  3. Step 3: Cross multiply
    459,395,042x = 706,123,098 × 706,123,098
  4. Step 4: Simplify right side
    459,395,042x = 498,609,829,529,117,632
  5. Step 5: Solve for x
    x = 498,609,829,529,117,632/459,395,042
  6. Step 6: Final answer
    x = 1,085,361,799.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.