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Finding the Third Proportional to 800,165 and 1,744,123

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Solution

The third proportional to 800,165 and 1,744,123 is: 3,801,672.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,165 : 1,744,123 = 1,744,123 : x
  2. Step 2: Convert to fraction form
    800,165/1,744,123 = 1,744,123/x
  3. Step 3: Cross multiply
    800,165x = 1,744,123 × 1,744,123
  4. Step 4: Simplify right side
    800,165x = 3,041,965,039,129
  5. Step 5: Solve for x
    x = 3,041,965,039,129/800,165
  6. Step 6: Final answer
    x = 3,801,672.20

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.