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Finding the Third Proportional to 4,042,651.50 and 5,945,748.75

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Solution

The third proportional to 4,042,651.50 and 5,945,748.75 is: 8,744,738.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,042,651.50 : 5,945,748.75 = 5,945,748.75 : x
  2. Step 2: Convert to fraction form
    4,042,651.50/5,945,748.75 = 5,945,748.75/x
  3. Step 3: Cross multiply
    4,042,651.50x = 5,945,748.75 × 5,945,748.75
  4. Step 4: Simplify right side
    4,042,651.50x = 35,351,928,198,126.56
  5. Step 5: Solve for x
    x = 35,351,928,198,126.56/4,042,651.50
  6. Step 6: Final answer
    x = 8,744,738.00

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.