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Finding the Third Proportional to 857,931 and 1,848,837

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Solution

The third proportional to 857,931 and 1,848,837 is: 3,984,234.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,931 : 1,848,837 = 1,848,837 : x
  2. Step 2: Convert to fraction form
    857,931/1,848,837 = 1,848,837/x
  3. Step 3: Cross multiply
    857,931x = 1,848,837 × 1,848,837
  4. Step 4: Simplify right side
    857,931x = 3,418,198,252,569
  5. Step 5: Solve for x
    x = 3,418,198,252,569/857,931
  6. Step 6: Final answer
    x = 3,984,234.46

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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.