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Finding the Third Proportional to 844,142 and 1,263,893

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Solution

The third proportional to 844,142 and 1,263,893 is: 1,892,365.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    844,142 : 1,263,893 = 1,263,893 : x
  2. Step 2: Convert to fraction form
    844,142/1,263,893 = 1,263,893/x
  3. Step 3: Cross multiply
    844,142x = 1,263,893 × 1,263,893
  4. Step 4: Simplify right side
    844,142x = 1,597,425,515,449
  5. Step 5: Solve for x
    x = 1,597,425,515,449/844,142
  6. Step 6: Final answer
    x = 1,892,365.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.