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Finding the Third Proportional to 396,064 and 851,837

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Solution

The third proportional to 396,064 and 851,837 is: 1,832,093.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,064 : 851,837 = 851,837 : x
  2. Step 2: Convert to fraction form
    396,064/851,837 = 851,837/x
  3. Step 3: Cross multiply
    396,064x = 851,837 × 851,837
  4. Step 4: Simplify right side
    396,064x = 725,626,274,569
  5. Step 5: Solve for x
    x = 725,626,274,569/396,064
  6. Step 6: Final answer
    x = 1,832,093.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.