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Finding the Third Proportional to 610,699.50 and 1,305,249.19

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Solution

The third proportional to 610,699.50 and 1,305,249.19 is: 2,789,711.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,699.50 : 1,305,249.19 = 1,305,249.19 : x
  2. Step 2: Convert to fraction form
    610,699.50/1,305,249.19 = 1,305,249.19/x
  3. Step 3: Cross multiply
    610,699.50x = 1,305,249.19 × 1,305,249.19
  4. Step 4: Simplify right side
    610,699.50x = 1,703,675,441,469.41
  5. Step 5: Solve for x
    x = 1,703,675,441,469.41/610,699.50
  6. Step 6: Final answer
    x = 2,789,711.54

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.