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Finding the Third Proportional to 459,613,062 and 687,791,169

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Solution

The third proportional to 459,613,062 and 687,791,169 is: 1,029,249,887.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,613,062 : 687,791,169 = 687,791,169 : x
  2. Step 2: Convert to fraction form
    459,613,062/687,791,169 = 687,791,169/x
  3. Step 3: Cross multiply
    459,613,062x = 687,791,169 × 687,791,169
  4. Step 4: Simplify right side
    459,613,062x = 473,056,692,154,386,560
  5. Step 5: Solve for x
    x = 473,056,692,154,386,560/459,613,062
  6. Step 6: Final answer
    x = 1,029,249,887.06

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Why These Related Problems?

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