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Finding the Third Proportional to 800,166 and 1,744,122

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Solution

The third proportional to 800,166 and 1,744,122 is: 3,801,663.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,166 : 1,744,122 = 1,744,122 : x
  2. Step 2: Convert to fraction form
    800,166/1,744,122 = 1,744,122/x
  3. Step 3: Cross multiply
    800,166x = 1,744,122 × 1,744,122
  4. Step 4: Simplify right side
    800,166x = 3,041,961,550,884
  5. Step 5: Solve for x
    x = 3,041,961,550,884/800,166
  6. Step 6: Final answer
    x = 3,801,663.09

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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.