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Finding the Third Proportional to 3,038,565 and 4,092,016

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Solution

The third proportional to 3,038,565 and 4,092,016 is: 5,510,691.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,038,565 : 4,092,016 = 4,092,016 : x
  2. Step 2: Convert to fraction form
    3,038,565/4,092,016 = 4,092,016/x
  3. Step 3: Cross multiply
    3,038,565x = 4,092,016 × 4,092,016
  4. Step 4: Simplify right side
    3,038,565x = 16,744,594,944,256
  5. Step 5: Solve for x
    x = 16,744,594,944,256/3,038,565
  6. Step 6: Final answer
    x = 5,510,691.71

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.