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Finding the Third Proportional to 1,025,991 and 2,227,215

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Solution

The third proportional to 1,025,991 and 2,227,215 is: 4,834,824.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025,991 : 2,227,215 = 2,227,215 : x
  2. Step 2: Convert to fraction form
    1,025,991/2,227,215 = 2,227,215/x
  3. Step 3: Cross multiply
    1,025,991x = 2,227,215 × 2,227,215
  4. Step 4: Simplify right side
    1,025,991x = 4,960,486,656,225
  5. Step 5: Solve for x
    x = 4,960,486,656,225/1,025,991
  6. Step 6: Final answer
    x = 4,834,824.73

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.