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Finding the Third Proportional to 414,876 and 892,812

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Solution

The third proportional to 414,876 and 892,812 is: 1,921,328.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,876 : 892,812 = 892,812 : x
  2. Step 2: Convert to fraction form
    414,876/892,812 = 892,812/x
  3. Step 3: Cross multiply
    414,876x = 892,812 × 892,812
  4. Step 4: Simplify right side
    414,876x = 797,113,267,344
  5. Step 5: Solve for x
    x = 797,113,267,344/414,876
  6. Step 6: Final answer
    x = 1,921,328.94

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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.