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Finding the Third Proportional to 404,098,781 and 871,273,114

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Solution

The third proportional to 404,098,781 and 871,273,114 is: 1,878,542,759.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,098,781 : 871,273,114 = 871,273,114 : x
  2. Step 2: Convert to fraction form
    404,098,781/871,273,114 = 871,273,114/x
  3. Step 3: Cross multiply
    404,098,781x = 871,273,114 × 871,273,114
  4. Step 4: Simplify right side
    404,098,781x = 759,116,839,179,256,960
  5. Step 5: Solve for x
    x = 759,116,839,179,256,960/404,098,781
  6. Step 6: Final answer
    x = 1,878,542,759.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.