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Finding the Third Proportional to 800,171 and 1,744,135

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Solution

The third proportional to 800,171 and 1,744,135 is: 3,801,696.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,171 : 1,744,135 = 1,744,135 : x
  2. Step 2: Convert to fraction form
    800,171/1,744,135 = 1,744,135/x
  3. Step 3: Cross multiply
    800,171x = 1,744,135 × 1,744,135
  4. Step 4: Simplify right side
    800,171x = 3,042,006,898,225
  5. Step 5: Solve for x
    x = 3,042,006,898,225/800,171
  6. Step 6: Final answer
    x = 3,801,696.01

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Why These Related Problems?

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