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Finding the Third Proportional to 605,492 and 937,542

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Solution

The third proportional to 605,492 and 937,542 is: 1,451,687.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,492 : 937,542 = 937,542 : x
  2. Step 2: Convert to fraction form
    605,492/937,542 = 937,542/x
  3. Step 3: Cross multiply
    605,492x = 937,542 × 937,542
  4. Step 4: Simplify right side
    605,492x = 878,985,001,764
  5. Step 5: Solve for x
    x = 878,985,001,764/605,492
  6. Step 6: Final answer
    x = 1,451,687.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.