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Finding the Third Proportional to 932,399.95 and 2,038,132.97

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Solution

The third proportional to 932,399.95 and 2,038,132.97 is: 4,455,154.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,399.95 : 2,038,132.97 = 2,038,132.97 : x
  2. Step 2: Convert to fraction form
    932,399.95/2,038,132.97 = 2,038,132.97/x
  3. Step 3: Cross multiply
    932,399.95x = 2,038,132.97 × 2,038,132.97
  4. Step 4: Simplify right side
    932,399.95x = 4,153,985,998,305.69
  5. Step 5: Solve for x
    x = 4,153,985,998,305.69/932,399.95
  6. Step 6: Final answer
    x = 4,455,154.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.