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Finding the Third Proportional to 443,978 and 962,802

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Solution

The third proportional to 443,978 and 962,802 is: 2,087,913.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,978 : 962,802 = 962,802 : x
  2. Step 2: Convert to fraction form
    443,978/962,802 = 962,802/x
  3. Step 3: Cross multiply
    443,978x = 962,802 × 962,802
  4. Step 4: Simplify right side
    443,978x = 926,987,691,204
  5. Step 5: Solve for x
    x = 926,987,691,204/443,978
  6. Step 6: Final answer
    x = 2,087,913.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.