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Finding the Third Proportional to 459,395,011 and 706,123,049

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Solution

The third proportional to 459,395,011 and 706,123,049 is: 1,085,361,722.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,395,011 : 706,123,049 = 706,123,049 : x
  2. Step 2: Convert to fraction form
    459,395,011/706,123,049 = 706,123,049/x
  3. Step 3: Cross multiply
    459,395,011x = 706,123,049 × 706,123,049
  4. Step 4: Simplify right side
    459,395,011x = 498,609,760,329,056,384
  5. Step 5: Solve for x
    x = 498,609,760,329,056,384/459,395,011
  6. Step 6: Final answer
    x = 1,085,361,722.24

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