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Finding the Third Proportional to 863,044.31 and 1,294,567.31

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Solution

The third proportional to 863,044.31 and 1,294,567.31 is: 1,941,852.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,044.31 : 1,294,567.31 = 1,294,567.31 : x
  2. Step 2: Convert to fraction form
    863,044.31/1,294,567.31 = 1,294,567.31/x
  3. Step 3: Cross multiply
    863,044.31x = 1,294,567.31 × 1,294,567.31
  4. Step 4: Simplify right side
    863,044.31x = 1,675,904,526,593.47
  5. Step 5: Solve for x
    x = 1,675,904,526,593.47/863,044.31
  6. Step 6: Final answer
    x = 1,941,852.23

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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.