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Finding the Third Proportional to 843,761.50 and 1,847,794.50

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Solution

The third proportional to 843,761.50 and 1,847,794.50 is: 4,046,575.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,761.50 : 1,847,794.50 = 1,847,794.50 : x
  2. Step 2: Convert to fraction form
    843,761.50/1,847,794.50 = 1,847,794.50/x
  3. Step 3: Cross multiply
    843,761.50x = 1,847,794.50 × 1,847,794.50
  4. Step 4: Simplify right side
    843,761.50x = 3,414,344,514,230.25
  5. Step 5: Solve for x
    x = 3,414,344,514,230.25/843,761.50
  6. Step 6: Final answer
    x = 4,046,575.38

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Why These Related Problems?

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