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Finding the Third Proportional to 681,873 and 1,022,809

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Solution

The third proportional to 681,873 and 1,022,809 is: 1,534,212.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,873 : 1,022,809 = 1,022,809 : x
  2. Step 2: Convert to fraction form
    681,873/1,022,809 = 1,022,809/x
  3. Step 3: Cross multiply
    681,873x = 1,022,809 × 1,022,809
  4. Step 4: Simplify right side
    681,873x = 1,046,138,250,481
  5. Step 5: Solve for x
    x = 1,046,138,250,481/681,873
  6. Step 6: Final answer
    x = 1,534,212.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.