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Finding the Third Proportional to 844,067 and 1,952,339

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Solution

The third proportional to 844,067 and 1,952,339 is: 4,515,787.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    844,067 : 1,952,339 = 1,952,339 : x
  2. Step 2: Convert to fraction form
    844,067/1,952,339 = 1,952,339/x
  3. Step 3: Cross multiply
    844,067x = 1,952,339 × 1,952,339
  4. Step 4: Simplify right side
    844,067x = 3,811,627,570,921
  5. Step 5: Solve for x
    x = 3,811,627,570,921/844,067
  6. Step 6: Final answer
    x = 4,515,787.93

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.