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Finding the Third Proportional to 1,661,686 and 3,614,972

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Solution

The third proportional to 1,661,686 and 3,614,972 is: 7,864,315.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661,686 : 3,614,972 = 3,614,972 : x
  2. Step 2: Convert to fraction form
    1,661,686/3,614,972 = 3,614,972/x
  3. Step 3: Cross multiply
    1,661,686x = 3,614,972 × 3,614,972
  4. Step 4: Simplify right side
    1,661,686x = 13,068,022,560,784
  5. Step 5: Solve for x
    x = 13,068,022,560,784/1,661,686
  6. Step 6: Final answer
    x = 7,864,315.26

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