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Finding the Third Proportional to 812,769 and 1,265,691

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Solution

The third proportional to 812,769 and 1,265,691 is: 1,971,007.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,769 : 1,265,691 = 1,265,691 : x
  2. Step 2: Convert to fraction form
    812,769/1,265,691 = 1,265,691/x
  3. Step 3: Cross multiply
    812,769x = 1,265,691 × 1,265,691
  4. Step 4: Simplify right side
    812,769x = 1,601,973,707,481
  5. Step 5: Solve for x
    x = 1,601,973,707,481/812,769
  6. Step 6: Final answer
    x = 1,971,007.39

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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.