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Finding the Third Proportional to 439,876 and 941,960

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Solution

The third proportional to 439,876 and 941,960 is: 2,017,133.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,876 : 941,960 = 941,960 : x
  2. Step 2: Convert to fraction form
    439,876/941,960 = 941,960/x
  3. Step 3: Cross multiply
    439,876x = 941,960 × 941,960
  4. Step 4: Simplify right side
    439,876x = 887,288,641,600
  5. Step 5: Solve for x
    x = 887,288,641,600/439,876
  6. Step 6: Final answer
    x = 2,017,133.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.