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Finding the Third Proportional to 857,934 and 1,848,843

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Solution

The third proportional to 857,934 and 1,848,843 is: 3,984,246.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,934 : 1,848,843 = 1,848,843 : x
  2. Step 2: Convert to fraction form
    857,934/1,848,843 = 1,848,843/x
  3. Step 3: Cross multiply
    857,934x = 1,848,843 × 1,848,843
  4. Step 4: Simplify right side
    857,934x = 3,418,220,438,649
  5. Step 5: Solve for x
    x = 3,418,220,438,649/857,934
  6. Step 6: Final answer
    x = 3,984,246.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.