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Finding the Third Proportional to 568,039.50 and 1,224,645.75

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Solution

The third proportional to 568,039.50 and 1,224,645.75 is: 2,640,234.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,039.50 : 1,224,645.75 = 1,224,645.75 : x
  2. Step 2: Convert to fraction form
    568,039.50/1,224,645.75 = 1,224,645.75/x
  3. Step 3: Cross multiply
    568,039.50x = 1,224,645.75 × 1,224,645.75
  4. Step 4: Simplify right side
    568,039.50x = 1,499,757,212,993.06
  5. Step 5: Solve for x
    x = 1,499,757,212,993.06/568,039.50
  6. Step 6: Final answer
    x = 2,640,234.02

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.