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Finding the Third Proportional to 842,650.31 and 1,192,324.78

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Solution

The third proportional to 842,650.31 and 1,192,324.78 is: 1,687,103.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,650.31 : 1,192,324.78 = 1,192,324.78 : x
  2. Step 2: Convert to fraction form
    842,650.31/1,192,324.78 = 1,192,324.78/x
  3. Step 3: Cross multiply
    842,650.31x = 1,192,324.78 × 1,192,324.78
  4. Step 4: Simplify right side
    842,650.31x = 1,421,638,383,982.86
  5. Step 5: Solve for x
    x = 1,421,638,383,982.86/842,650.31
  6. Step 6: Final answer
    x = 1,687,103.61

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.