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Finding the Third Proportional to 681,922.13 and 1,022,883.38

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Solution

The third proportional to 681,922.13 and 1,022,883.38 is: 1,534,325.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,922.13 : 1,022,883.38 = 1,022,883.38 : x
  2. Step 2: Convert to fraction form
    681,922.13/1,022,883.38 = 1,022,883.38/x
  3. Step 3: Cross multiply
    681,922.13x = 1,022,883.38 × 1,022,883.38
  4. Step 4: Simplify right side
    681,922.13x = 1,046,290,398,851.39
  5. Step 5: Solve for x
    x = 1,046,290,398,851.39/681,922.13
  6. Step 6: Final answer
    x = 1,534,325.34

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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.