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Finding the Third Proportional to 1,661,846 and 3,614,864

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Solution

The third proportional to 1,661,846 and 3,614,864 is: 7,863,088.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661,846 : 3,614,864 = 3,614,864 : x
  2. Step 2: Convert to fraction form
    1,661,846/3,614,864 = 3,614,864/x
  3. Step 3: Cross multiply
    1,661,846x = 3,614,864 × 3,614,864
  4. Step 4: Simplify right side
    1,661,846x = 13,067,241,738,496
  5. Step 5: Solve for x
    x = 13,067,241,738,496/1,661,846
  6. Step 6: Final answer
    x = 7,863,088.24

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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.