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Finding the Third Proportional to 619,331 and 905,098

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Solution

The third proportional to 619,331 and 905,098 is: 1,322,721.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,331 : 905,098 = 905,098 : x
  2. Step 2: Convert to fraction form
    619,331/905,098 = 905,098/x
  3. Step 3: Cross multiply
    619,331x = 905,098 × 905,098
  4. Step 4: Simplify right side
    619,331x = 819,202,389,604
  5. Step 5: Solve for x
    x = 819,202,389,604/619,331
  6. Step 6: Final answer
    x = 1,322,721.44

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.