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Finding the Third Proportional to 801,162 and 1,247,697

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Solution

The third proportional to 801,162 and 1,247,697 is: 1,943,112.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    801,162 : 1,247,697 = 1,247,697 : x
  2. Step 2: Convert to fraction form
    801,162/1,247,697 = 1,247,697/x
  3. Step 3: Cross multiply
    801,162x = 1,247,697 × 1,247,697
  4. Step 4: Simplify right side
    801,162x = 1,556,747,803,809
  5. Step 5: Solve for x
    x = 1,556,747,803,809/801,162
  6. Step 6: Final answer
    x = 1,943,112.38

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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.