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Finding the Third Proportional to 459,394,993.13 and 706,123,023.19

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Solution

The third proportional to 459,394,993.13 and 706,123,023.19 is: 1,085,361,685.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,394,993.13 : 706,123,023.19 = 706,123,023.19 : x
  2. Step 2: Convert to fraction form
    459,394,993.13/706,123,023.19 = 706,123,023.19/x
  3. Step 3: Cross multiply
    459,394,993.13x = 706,123,023.19 × 706,123,023.19
  4. Step 4: Simplify right side
    459,394,993.13x = 498,609,723,875,454,656
  5. Step 5: Solve for x
    x = 498,609,723,875,454,656/459,394,993.13
  6. Step 6: Final answer
    x = 1,085,361,685.12

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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.