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Finding the Third Proportional to 398,004,741 and 861,202,494

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Solution

The third proportional to 398,004,741 and 861,202,494 is: 1,863,469,600.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,004,741 : 861,202,494 = 861,202,494 : x
  2. Step 2: Convert to fraction form
    398,004,741/861,202,494 = 861,202,494/x
  3. Step 3: Cross multiply
    398,004,741x = 861,202,494 × 861,202,494
  4. Step 4: Simplify right side
    398,004,741x = 741,669,735,671,820,032
  5. Step 5: Solve for x
    x = 741,669,735,671,820,032/398,004,741
  6. Step 6: Final answer
    x = 1,863,469,600.41

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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.