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Finding the Third Proportional to 440,976 and 934,939

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Solution

The third proportional to 440,976 and 934,939 is: 1,982,218.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,976 : 934,939 = 934,939 : x
  2. Step 2: Convert to fraction form
    440,976/934,939 = 934,939/x
  3. Step 3: Cross multiply
    440,976x = 934,939 × 934,939
  4. Step 4: Simplify right side
    440,976x = 874,110,933,721
  5. Step 5: Solve for x
    x = 874,110,933,721/440,976
  6. Step 6: Final answer
    x = 1,982,218.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.