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Finding the Third Proportional to 733,832 and 1,576,183

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Solution

The third proportional to 733,832 and 1,576,183 is: 3,385,451.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,832 : 1,576,183 = 1,576,183 : x
  2. Step 2: Convert to fraction form
    733,832/1,576,183 = 1,576,183/x
  3. Step 3: Cross multiply
    733,832x = 1,576,183 × 1,576,183
  4. Step 4: Simplify right side
    733,832x = 2,484,352,849,489
  5. Step 5: Solve for x
    x = 2,484,352,849,489/733,832
  6. Step 6: Final answer
    x = 3,385,451.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.