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Finding the Third Proportional to 440,036,524 and 932,527,976

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Solution

The third proportional to 440,036,524 and 932,527,976 is: 1,976,218,742.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,036,524 : 932,527,976 = 932,527,976 : x
  2. Step 2: Convert to fraction form
    440,036,524/932,527,976 = 932,527,976/x
  3. Step 3: Cross multiply
    440,036,524x = 932,527,976 × 932,527,976
  4. Step 4: Simplify right side
    440,036,524x = 869,608,426,022,656,512
  5. Step 5: Solve for x
    x = 869,608,426,022,656,512/440,036,524
  6. Step 6: Final answer
    x = 1,976,218,742.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.