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Finding the Third Proportional to 385,086 and 858,717

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Solution

The third proportional to 385,086 and 858,717 is: 1,914,883.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,086 : 858,717 = 858,717 : x
  2. Step 2: Convert to fraction form
    385,086/858,717 = 858,717/x
  3. Step 3: Cross multiply
    385,086x = 858,717 × 858,717
  4. Step 4: Simplify right side
    385,086x = 737,394,886,089
  5. Step 5: Solve for x
    x = 737,394,886,089/385,086
  6. Step 6: Final answer
    x = 1,914,883.65

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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.