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Finding the Third Proportional to 812,361 and 1,135,672

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Solution

The third proportional to 812,361 and 1,135,672 is: 1,587,657.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,361 : 1,135,672 = 1,135,672 : x
  2. Step 2: Convert to fraction form
    812,361/1,135,672 = 1,135,672/x
  3. Step 3: Cross multiply
    812,361x = 1,135,672 × 1,135,672
  4. Step 4: Simplify right side
    812,361x = 1,289,750,891,584
  5. Step 5: Solve for x
    x = 1,289,750,891,584/812,361
  6. Step 6: Final answer
    x = 1,587,657.32

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.