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Finding the Third Proportional to 3,639,565 and 5,708,909

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Solution

The third proportional to 3,639,565 and 5,708,909 is: 8,954,817.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,639,565 : 5,708,909 = 5,708,909 : x
  2. Step 2: Convert to fraction form
    3,639,565/5,708,909 = 5,708,909/x
  3. Step 3: Cross multiply
    3,639,565x = 5,708,909 × 5,708,909
  4. Step 4: Simplify right side
    3,639,565x = 32,591,641,970,281
  5. Step 5: Solve for x
    x = 32,591,641,970,281/3,639,565
  6. Step 6: Final answer
    x = 8,954,817.94

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.