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Finding the Third Proportional to 458,792 and 987,892

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Solution

The third proportional to 458,792 and 987,892 is: 2,127,174.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,792 : 987,892 = 987,892 : x
  2. Step 2: Convert to fraction form
    458,792/987,892 = 987,892/x
  3. Step 3: Cross multiply
    458,792x = 987,892 × 987,892
  4. Step 4: Simplify right side
    458,792x = 975,930,603,664
  5. Step 5: Solve for x
    x = 975,930,603,664/458,792
  6. Step 6: Final answer
    x = 2,127,174.41

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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.