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Finding the Third Proportional to 1,661,674.50 and 3,614,949

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Solution

The third proportional to 1,661,674.50 and 3,614,949 is: 7,864,269.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661,674.50 : 3,614,949 = 3,614,949 : x
  2. Step 2: Convert to fraction form
    1,661,674.50/3,614,949 = 3,614,949/x
  3. Step 3: Cross multiply
    1,661,674.50x = 3,614,949 × 3,614,949
  4. Step 4: Simplify right side
    1,661,674.50x = 13,067,856,272,601
  5. Step 5: Solve for x
    x = 13,067,856,272,601/1,661,674.50
  6. Step 6: Final answer
    x = 7,864,269.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.