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Finding the Third Proportional to 394,523 and 862,853

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Solution

The third proportional to 394,523 and 862,853 is: 1,887,127.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,523 : 862,853 = 862,853 : x
  2. Step 2: Convert to fraction form
    394,523/862,853 = 862,853/x
  3. Step 3: Cross multiply
    394,523x = 862,853 × 862,853
  4. Step 4: Simplify right side
    394,523x = 744,515,299,609
  5. Step 5: Solve for x
    x = 744,515,299,609/394,523
  6. Step 6: Final answer
    x = 1,887,127.75

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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.