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Finding the Third Proportional to 396,541,116 and 858,960,504

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Solution

The third proportional to 396,541,116 and 858,960,504 is: 1,860,622,058.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,541,116 : 858,960,504 = 858,960,504 : x
  2. Step 2: Convert to fraction form
    396,541,116/858,960,504 = 858,960,504/x
  3. Step 3: Cross multiply
    396,541,116x = 858,960,504 × 858,960,504
  4. Step 4: Simplify right side
    396,541,116x = 737,813,147,431,933,952
  5. Step 5: Solve for x
    x = 737,813,147,431,933,952/396,541,116
  6. Step 6: Final answer
    x = 1,860,622,058.25

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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.