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Finding the Third Proportional to 800,175 and 1,744,143

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Solution

The third proportional to 800,175 and 1,744,143 is: 3,801,711.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,175 : 1,744,143 = 1,744,143 : x
  2. Step 2: Convert to fraction form
    800,175/1,744,143 = 1,744,143/x
  3. Step 3: Cross multiply
    800,175x = 1,744,143 × 1,744,143
  4. Step 4: Simplify right side
    800,175x = 3,042,034,804,449
  5. Step 5: Solve for x
    x = 3,042,034,804,449/800,175
  6. Step 6: Final answer
    x = 3,801,711.88

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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.