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Finding the Third Proportional to 823,861.13 and 1,099,635.75

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Solution

The third proportional to 823,861.13 and 1,099,635.75 is: 1,467,721.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,861.13 : 1,099,635.75 = 1,099,635.75 : x
  2. Step 2: Convert to fraction form
    823,861.13/1,099,635.75 = 1,099,635.75/x
  3. Step 3: Cross multiply
    823,861.13x = 1,099,635.75 × 1,099,635.75
  4. Step 4: Simplify right side
    823,861.13x = 1,209,198,782,678.06
  5. Step 5: Solve for x
    x = 1,209,198,782,678.06/823,861.13
  6. Step 6: Final answer
    x = 1,467,721.62

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.