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Finding the Third Proportional to 399,936 and 844,836

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Solution

The third proportional to 399,936 and 844,836 is: 1,784,655.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,936 : 844,836 = 844,836 : x
  2. Step 2: Convert to fraction form
    399,936/844,836 = 844,836/x
  3. Step 3: Cross multiply
    399,936x = 844,836 × 844,836
  4. Step 4: Simplify right side
    399,936x = 713,747,866,896
  5. Step 5: Solve for x
    x = 713,747,866,896/399,936
  6. Step 6: Final answer
    x = 1,784,655.21

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.