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Finding the Third Proportional to 396,511,782.75 and 858,923,340.75

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Solution

The third proportional to 396,511,782.75 and 858,923,340.75 is: 1,860,598,694.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,511,782.75 : 858,923,340.75 = 858,923,340.75 : x
  2. Step 2: Convert to fraction form
    396,511,782.75/858,923,340.75 = 858,923,340.75/x
  3. Step 3: Cross multiply
    396,511,782.75x = 858,923,340.75 × 858,923,340.75
  4. Step 4: Simplify right side
    396,511,782.75x = 737,749,305,285,140,608
  5. Step 5: Solve for x
    x = 737,749,305,285,140,608/396,511,782.75
  6. Step 6: Final answer
    x = 1,860,598,694.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.