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Finding the Third Proportional to 800,172 and 1,744,137

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Solution

The third proportional to 800,172 and 1,744,137 is: 3,801,699.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,172 : 1,744,137 = 1,744,137 : x
  2. Step 2: Convert to fraction form
    800,172/1,744,137 = 1,744,137/x
  3. Step 3: Cross multiply
    800,172x = 1,744,137 × 1,744,137
  4. Step 4: Simplify right side
    800,172x = 3,042,013,874,769
  5. Step 5: Solve for x
    x = 3,042,013,874,769/800,172
  6. Step 6: Final answer
    x = 3,801,699.98

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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.