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Finding the Third Proportional to 396,762,648 and 854,323,248

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Solution

The third proportional to 396,762,648 and 854,323,248 is: 1,839,558,778.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,762,648 : 854,323,248 = 854,323,248 : x
  2. Step 2: Convert to fraction form
    396,762,648/854,323,248 = 854,323,248/x
  3. Step 3: Cross multiply
    396,762,648x = 854,323,248 × 854,323,248
  4. Step 4: Simplify right side
    396,762,648x = 729,868,212,073,269,504
  5. Step 5: Solve for x
    x = 729,868,212,073,269,504/396,762,648
  6. Step 6: Final answer
    x = 1,839,558,778.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.