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Finding the Third Proportional to 797,810 and 1,728,542

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Solution

The third proportional to 797,810 and 1,728,542 is: 3,745,073.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,810 : 1,728,542 = 1,728,542 : x
  2. Step 2: Convert to fraction form
    797,810/1,728,542 = 1,728,542/x
  3. Step 3: Cross multiply
    797,810x = 1,728,542 × 1,728,542
  4. Step 4: Simplify right side
    797,810x = 2,987,857,445,764
  5. Step 5: Solve for x
    x = 2,987,857,445,764/797,810
  6. Step 6: Final answer
    x = 3,745,073.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.