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Finding the Third Proportional to 449,449 and 962,866

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Solution

The third proportional to 449,449 and 962,866 is: 2,062,772.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,449 : 962,866 = 962,866 : x
  2. Step 2: Convert to fraction form
    449,449/962,866 = 962,866/x
  3. Step 3: Cross multiply
    449,449x = 962,866 × 962,866
  4. Step 4: Simplify right side
    449,449x = 927,110,933,956
  5. Step 5: Solve for x
    x = 927,110,933,956/449,449
  6. Step 6: Final answer
    x = 2,062,772.27

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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.