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Finding the Third Proportional to 517,503,474 and 1,122,322,914

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Solution

The third proportional to 517,503,474 and 1,122,322,914 is: 2,434,010,178.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,503,474 : 1,122,322,914 = 1,122,322,914 : x
  2. Step 2: Convert to fraction form
    517,503,474/1,122,322,914 = 1,122,322,914/x
  3. Step 3: Cross multiply
    517,503,474x = 1,122,322,914 × 1,122,322,914
  4. Step 4: Simplify right side
    517,503,474x = 1,259,608,723,289,451,520
  5. Step 5: Solve for x
    x = 1,259,608,723,289,451,520/517,503,474
  6. Step 6: Final answer
    x = 2,434,010,178.82

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.