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Finding the Third Proportional to 1,524,768 and 2,236,227

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Solution

The third proportional to 1,524,768 and 2,236,227 is: 3,279,653.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524,768 : 2,236,227 = 2,236,227 : x
  2. Step 2: Convert to fraction form
    1,524,768/2,236,227 = 2,236,227/x
  3. Step 3: Cross multiply
    1,524,768x = 2,236,227 × 2,236,227
  4. Step 4: Simplify right side
    1,524,768x = 5,000,711,195,529
  5. Step 5: Solve for x
    x = 5,000,711,195,529/1,524,768
  6. Step 6: Final answer
    x = 3,279,653.82

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.