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Finding the Third Proportional to 397,882,381 and 856,230,936

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Solution

The third proportional to 397,882,381 and 856,230,936 is: 1,842,583,262.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,882,381 : 856,230,936 = 856,230,936 : x
  2. Step 2: Convert to fraction form
    397,882,381/856,230,936 = 856,230,936/x
  3. Step 3: Cross multiply
    397,882,381x = 856,230,936 × 856,230,936
  4. Step 4: Simplify right side
    397,882,381x = 733,131,415,763,436,032
  5. Step 5: Solve for x
    x = 733,131,415,763,436,032/397,882,381
  6. Step 6: Final answer
    x = 1,842,583,262.72

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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.