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Finding the Third Proportional to 474,786.75 and 1,098,189

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Solution

The third proportional to 474,786.75 and 1,098,189 is: 2,540,127.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,786.75 : 1,098,189 = 1,098,189 : x
  2. Step 2: Convert to fraction form
    474,786.75/1,098,189 = 1,098,189/x
  3. Step 3: Cross multiply
    474,786.75x = 1,098,189 × 1,098,189
  4. Step 4: Simplify right side
    474,786.75x = 1,206,019,079,721
  5. Step 5: Solve for x
    x = 1,206,019,079,721/474,786.75
  6. Step 6: Final answer
    x = 2,540,127.92

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.