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Finding the Third Proportional to 449,446 and 962,860

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Solution

The third proportional to 449,446 and 962,860 is: 2,062,760.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,446 : 962,860 = 962,860 : x
  2. Step 2: Convert to fraction form
    449,446/962,860 = 962,860/x
  3. Step 3: Cross multiply
    449,446x = 962,860 × 962,860
  4. Step 4: Simplify right side
    449,446x = 927,099,379,600
  5. Step 5: Solve for x
    x = 927,099,379,600/449,446
  6. Step 6: Final answer
    x = 2,062,760.33

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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.