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Finding the Third Proportional to 802,174.50 and 1,783,662.75

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Solution

The third proportional to 802,174.50 and 1,783,662.75 is: 3,966,035.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,174.50 : 1,783,662.75 = 1,783,662.75 : x
  2. Step 2: Convert to fraction form
    802,174.50/1,783,662.75 = 1,783,662.75/x
  3. Step 3: Cross multiply
    802,174.50x = 1,783,662.75 × 1,783,662.75
  4. Step 4: Simplify right side
    802,174.50x = 3,181,452,805,737.56
  5. Step 5: Solve for x
    x = 3,181,452,805,737.56/802,174.50
  6. Step 6: Final answer
    x = 3,966,035.83

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.