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Finding the Third Proportional to 396,762,627 and 854,323,206

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Solution

The third proportional to 396,762,627 and 854,323,206 is: 1,839,558,694.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,762,627 : 854,323,206 = 854,323,206 : x
  2. Step 2: Convert to fraction form
    396,762,627/854,323,206 = 854,323,206/x
  3. Step 3: Cross multiply
    396,762,627x = 854,323,206 × 854,323,206
  4. Step 4: Simplify right side
    396,762,627x = 729,868,140,310,118,400
  5. Step 5: Solve for x
    x = 729,868,140,310,118,400/396,762,627
  6. Step 6: Final answer
    x = 1,839,558,694.90

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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.