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Finding the Third Proportional to 812,736 and 1,257,744

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Solution

The third proportional to 812,736 and 1,257,744 is: 1,946,413.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,736 : 1,257,744 = 1,257,744 : x
  2. Step 2: Convert to fraction form
    812,736/1,257,744 = 1,257,744/x
  3. Step 3: Cross multiply
    812,736x = 1,257,744 × 1,257,744
  4. Step 4: Simplify right side
    812,736x = 1,581,919,969,536
  5. Step 5: Solve for x
    x = 1,581,919,969,536/812,736
  6. Step 6: Final answer
    x = 1,946,413.07

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