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Finding the Third Proportional to 486,976 and 987,344

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Solution

The third proportional to 486,976 and 987,344 is: 2,001,840.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,976 : 987,344 = 987,344 : x
  2. Step 2: Convert to fraction form
    486,976/987,344 = 987,344/x
  3. Step 3: Cross multiply
    486,976x = 987,344 × 987,344
  4. Step 4: Simplify right side
    486,976x = 974,848,174,336
  5. Step 5: Solve for x
    x = 974,848,174,336/486,976
  6. Step 6: Final answer
    x = 2,001,840.28

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.