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Finding the Third Proportional to 2,467,816 and 3,813,743

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Solution

The third proportional to 2,467,816 and 3,813,743 is: 5,893,727.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467,816 : 3,813,743 = 3,813,743 : x
  2. Step 2: Convert to fraction form
    2,467,816/3,813,743 = 3,813,743/x
  3. Step 3: Cross multiply
    2,467,816x = 3,813,743 × 3,813,743
  4. Step 4: Simplify right side
    2,467,816x = 14,544,635,670,049
  5. Step 5: Solve for x
    x = 14,544,635,670,049/2,467,816
  6. Step 6: Final answer
    x = 5,893,727.76

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.