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Finding the Third Proportional to 805,876 and 1,186,542

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Solution

The third proportional to 805,876 and 1,186,542 is: 1,747,020.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    805,876 : 1,186,542 = 1,186,542 : x
  2. Step 2: Convert to fraction form
    805,876/1,186,542 = 1,186,542/x
  3. Step 3: Cross multiply
    805,876x = 1,186,542 × 1,186,542
  4. Step 4: Simplify right side
    805,876x = 1,407,881,917,764
  5. Step 5: Solve for x
    x = 1,407,881,917,764/805,876
  6. Step 6: Final answer
    x = 1,747,020.53

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.