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Finding the Third Proportional to 394,566 and 862,938

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Solution

The third proportional to 394,566 and 862,938 is: 1,887,293.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,566 : 862,938 = 862,938 : x
  2. Step 2: Convert to fraction form
    394,566/862,938 = 862,938/x
  3. Step 3: Cross multiply
    394,566x = 862,938 × 862,938
  4. Step 4: Simplify right side
    394,566x = 744,661,991,844
  5. Step 5: Solve for x
    x = 744,661,991,844/394,566
  6. Step 6: Final answer
    x = 1,887,293.87

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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.