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Finding the Third Proportional to 813,898 and 1,261,743

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Solution

The third proportional to 813,898 and 1,261,743 is: 1,956,013.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,898 : 1,261,743 = 1,261,743 : x
  2. Step 2: Convert to fraction form
    813,898/1,261,743 = 1,261,743/x
  3. Step 3: Cross multiply
    813,898x = 1,261,743 × 1,261,743
  4. Step 4: Simplify right side
    813,898x = 1,591,995,398,049
  5. Step 5: Solve for x
    x = 1,591,995,398,049/813,898
  6. Step 6: Final answer
    x = 1,956,013.40

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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.