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Finding the Third Proportional to 691,812 and 883,976

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Solution

The third proportional to 691,812 and 883,976 is: 1,129,517.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,812 : 883,976 = 883,976 : x
  2. Step 2: Convert to fraction form
    691,812/883,976 = 883,976/x
  3. Step 3: Cross multiply
    691,812x = 883,976 × 883,976
  4. Step 4: Simplify right side
    691,812x = 781,413,568,576
  5. Step 5: Solve for x
    x = 781,413,568,576/691,812
  6. Step 6: Final answer
    x = 1,129,517.22

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.