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Finding the Third Proportional to 561,782.25 and 1,228,665.38

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Solution

The third proportional to 561,782.25 and 1,228,665.38 is: 2,687,195.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,782.25 : 1,228,665.38 = 1,228,665.38 : x
  2. Step 2: Convert to fraction form
    561,782.25/1,228,665.38 = 1,228,665.38/x
  3. Step 3: Cross multiply
    561,782.25x = 1,228,665.38 × 1,228,665.38
  4. Step 4: Simplify right side
    561,782.25x = 1,509,618,603,723.89
  5. Step 5: Solve for x
    x = 1,509,618,603,723.89/561,782.25
  6. Step 6: Final answer
    x = 2,687,195.27

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.