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Finding the Third Proportional to 2,471,864 and 3,825,406

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Solution

The third proportional to 2,471,864 and 3,825,406 is: 5,920,119.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471,864 : 3,825,406 = 3,825,406 : x
  2. Step 2: Convert to fraction form
    2,471,864/3,825,406 = 3,825,406/x
  3. Step 3: Cross multiply
    2,471,864x = 3,825,406 × 3,825,406
  4. Step 4: Simplify right side
    2,471,864x = 14,633,731,064,836
  5. Step 5: Solve for x
    x = 14,633,731,064,836/2,471,864
  6. Step 6: Final answer
    x = 5,920,119.82

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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.