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Finding the Third Proportional to 819,174.09 and 1,228,761.56

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Solution

The third proportional to 819,174.09 and 1,228,761.56 is: 1,843,142.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,174.09 : 1,228,761.56 = 1,228,761.56 : x
  2. Step 2: Convert to fraction form
    819,174.09/1,228,761.56 = 1,228,761.56/x
  3. Step 3: Cross multiply
    819,174.09x = 1,228,761.56 × 1,228,761.56
  4. Step 4: Simplify right side
    819,174.09x = 1,509,854,977,477.44
  5. Step 5: Solve for x
    x = 1,509,854,977,477.44/819,174.09
  6. Step 6: Final answer
    x = 1,843,142.98

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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.