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Finding the Third Proportional to 394,161.19 and 862,543.69

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Solution

The third proportional to 394,161.19 and 862,543.69 is: 1,887,506.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,161.19 : 862,543.69 = 862,543.69 : x
  2. Step 2: Convert to fraction form
    394,161.19/862,543.69 = 862,543.69/x
  3. Step 3: Cross multiply
    394,161.19x = 862,543.69 × 862,543.69
  4. Step 4: Simplify right side
    394,161.19x = 743,981,612,846.10
  5. Step 5: Solve for x
    x = 743,981,612,846.10/394,161.19
  6. Step 6: Final answer
    x = 1,887,506.02

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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.