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Finding the Third Proportional to 3,782,054 and 5,659,716

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Solution

The third proportional to 3,782,054 and 5,659,716 is: 8,469,573.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782,054 : 5,659,716 = 5,659,716 : x
  2. Step 2: Convert to fraction form
    3,782,054/5,659,716 = 5,659,716/x
  3. Step 3: Cross multiply
    3,782,054x = 5,659,716 × 5,659,716
  4. Step 4: Simplify right side
    3,782,054x = 32,032,385,200,656
  5. Step 5: Solve for x
    x = 32,032,385,200,656/3,782,054
  6. Step 6: Final answer
    x = 8,469,573.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.