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Finding the Third Proportional to 451,914 and 963,876

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Solution

The third proportional to 451,914 and 963,876 is: 2,055,826.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,914 : 963,876 = 963,876 : x
  2. Step 2: Convert to fraction form
    451,914/963,876 = 963,876/x
  3. Step 3: Cross multiply
    451,914x = 963,876 × 963,876
  4. Step 4: Simplify right side
    451,914x = 929,056,943,376
  5. Step 5: Solve for x
    x = 929,056,943,376/451,914
  6. Step 6: Final answer
    x = 2,055,826.87

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.