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Finding the Third Proportional to 404,430,028 and 871,156,744

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Solution

The third proportional to 404,430,028 and 871,156,744 is: 1,876,502,781.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,430,028 : 871,156,744 = 871,156,744 : x
  2. Step 2: Convert to fraction form
    404,430,028/871,156,744 = 871,156,744/x
  3. Step 3: Cross multiply
    404,430,028x = 871,156,744 × 871,156,744
  4. Step 4: Simplify right side
    404,430,028x = 758,914,072,616,681,472
  5. Step 5: Solve for x
    x = 758,914,072,616,681,472/404,430,028
  6. Step 6: Final answer
    x = 1,876,502,781.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.