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Finding the Third Proportional to 1,247,234.50 and 1,824,195.75

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Solution

The third proportional to 1,247,234.50 and 1,824,195.75 is: 2,668,054.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247,234.50 : 1,824,195.75 = 1,824,195.75 : x
  2. Step 2: Convert to fraction form
    1,247,234.50/1,824,195.75 = 1,824,195.75/x
  3. Step 3: Cross multiply
    1,247,234.50x = 1,824,195.75 × 1,824,195.75
  4. Step 4: Simplify right side
    1,247,234.50x = 3,327,690,134,318.06
  5. Step 5: Solve for x
    x = 3,327,690,134,318.06/1,247,234.50
  6. Step 6: Final answer
    x = 2,668,054.91

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.