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Finding the Third Proportional to 800,169 and 1,744,131

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Solution

The third proportional to 800,169 and 1,744,131 is: 3,801,688.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,169 : 1,744,131 = 1,744,131 : x
  2. Step 2: Convert to fraction form
    800,169/1,744,131 = 1,744,131/x
  3. Step 3: Cross multiply
    800,169x = 1,744,131 × 1,744,131
  4. Step 4: Simplify right side
    800,169x = 3,041,992,945,161
  5. Step 5: Solve for x
    x = 3,041,992,945,161/800,169
  6. Step 6: Final answer
    x = 3,801,688.07

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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.