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Finding the Third Proportional to 394,956 and 864,918

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Solution

The third proportional to 394,956 and 864,918 is: 1,894,092.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,956 : 864,918 = 864,918 : x
  2. Step 2: Convert to fraction form
    394,956/864,918 = 864,918/x
  3. Step 3: Cross multiply
    394,956x = 864,918 × 864,918
  4. Step 4: Simplify right side
    394,956x = 748,083,146,724
  5. Step 5: Solve for x
    x = 748,083,146,724/394,956
  6. Step 6: Final answer
    x = 1,894,092.37

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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.