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Finding the Third Proportional to 396,511,769 and 858,923,316

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Solution

The third proportional to 396,511,769 and 858,923,316 is: 1,860,598,651.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,511,769 : 858,923,316 = 858,923,316 : x
  2. Step 2: Convert to fraction form
    396,511,769/858,923,316 = 858,923,316/x
  3. Step 3: Cross multiply
    396,511,769x = 858,923,316 × 858,923,316
  4. Step 4: Simplify right side
    396,511,769x = 737,749,262,768,435,840
  5. Step 5: Solve for x
    x = 737,749,262,768,435,840/396,511,769
  6. Step 6: Final answer
    x = 1,860,598,651.66

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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.