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Finding the Third Proportional to 683,521.50 and 1,098,183

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Solution

The third proportional to 683,521.50 and 1,098,183 is: 1,764,400.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,521.50 : 1,098,183 = 1,098,183 : x
  2. Step 2: Convert to fraction form
    683,521.50/1,098,183 = 1,098,183/x
  3. Step 3: Cross multiply
    683,521.50x = 1,098,183 × 1,098,183
  4. Step 4: Simplify right side
    683,521.50x = 1,206,005,901,489
  5. Step 5: Solve for x
    x = 1,206,005,901,489/683,521.50
  6. Step 6: Final answer
    x = 1,764,400.83

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.