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Finding the Third Proportional to 396,441,831 and 869,119,239

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Solution

The third proportional to 396,441,831 and 869,119,239 is: 1,905,369,697.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,441,831 : 869,119,239 = 869,119,239 : x
  2. Step 2: Convert to fraction form
    396,441,831/869,119,239 = 869,119,239/x
  3. Step 3: Cross multiply
    396,441,831x = 869,119,239 × 869,119,239
  4. Step 4: Simplify right side
    396,441,831x = 755,368,251,599,939,072
  5. Step 5: Solve for x
    x = 755,368,251,599,939,072/396,441,831
  6. Step 6: Final answer
    x = 1,905,369,697.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.