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Finding the Third Proportional to 484,814 and 993,874

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Solution

The third proportional to 484,814 and 993,874 is: 2,037,452.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,814 : 993,874 = 993,874 : x
  2. Step 2: Convert to fraction form
    484,814/993,874 = 993,874/x
  3. Step 3: Cross multiply
    484,814x = 993,874 × 993,874
  4. Step 4: Simplify right side
    484,814x = 987,785,527,876
  5. Step 5: Solve for x
    x = 987,785,527,876/484,814
  6. Step 6: Final answer
    x = 2,037,452.57

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.