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Finding the Third Proportional to 1,661,857.50 and 3,614,886

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Solution

The third proportional to 1,661,857.50 and 3,614,886 is: 7,863,129.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661,857.50 : 3,614,886 = 3,614,886 : x
  2. Step 2: Convert to fraction form
    1,661,857.50/3,614,886 = 3,614,886/x
  3. Step 3: Cross multiply
    1,661,857.50x = 3,614,886 × 3,614,886
  4. Step 4: Simplify right side
    1,661,857.50x = 13,067,400,792,996
  5. Step 5: Solve for x
    x = 13,067,400,792,996/1,661,857.50
  6. Step 6: Final answer
    x = 7,863,129.54

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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.