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Finding the Third Proportional to 987,217,242,404 and 1,390,219,420,179

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Solution

The third proportional to 987,217,242,404 and 1,390,219,420,179 is: 1,957,735,291,916.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    987,217,242,404 : 1,390,219,420,179 = 1,390,219,420,179 : x
  2. Step 2: Convert to fraction form
    987,217,242,404/1,390,219,420,179 = 1,390,219,420,179/x
  3. Step 3: Cross multiply
    987,217,242,404x = 1,390,219,420,179 × 1,390,219,420,179
  4. Step 4: Simplify right side
    987,217,242,404x = 1,932,710,036,242,834,854,510,592
  5. Step 5: Solve for x
    x = 1,932,710,036,242,834,854,510,592/987,217,242,404
  6. Step 6: Final answer
    x = 1,957,735,291,916.54

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.