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Finding the Third Proportional to 805,761 and 1,257,681

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Solution

The third proportional to 805,761 and 1,257,681 is: 1,963,065.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    805,761 : 1,257,681 = 1,257,681 : x
  2. Step 2: Convert to fraction form
    805,761/1,257,681 = 1,257,681/x
  3. Step 3: Cross multiply
    805,761x = 1,257,681 × 1,257,681
  4. Step 4: Simplify right side
    805,761x = 1,581,761,497,761
  5. Step 5: Solve for x
    x = 1,581,761,497,761/805,761
  6. Step 6: Final answer
    x = 1,963,065.35

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.