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Finding the Third Proportional to 385,161 and 858,837

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Solution

The third proportional to 385,161 and 858,837 is: 1,915,045.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,161 : 858,837 = 858,837 : x
  2. Step 2: Convert to fraction form
    385,161/858,837 = 858,837/x
  3. Step 3: Cross multiply
    385,161x = 858,837 × 858,837
  4. Step 4: Simplify right side
    385,161x = 737,600,992,569
  5. Step 5: Solve for x
    x = 737,600,992,569/385,161
  6. Step 6: Final answer
    x = 1,915,045.90

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.