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Finding the Third Proportional to 800,500 and 1,733,864

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Solution

The third proportional to 800,500 and 1,733,864 is: 3,755,508.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,500 : 1,733,864 = 1,733,864 : x
  2. Step 2: Convert to fraction form
    800,500/1,733,864 = 1,733,864/x
  3. Step 3: Cross multiply
    800,500x = 1,733,864 × 1,733,864
  4. Step 4: Simplify right side
    800,500x = 3,006,284,370,496
  5. Step 5: Solve for x
    x = 3,006,284,370,496/800,500
  6. Step 6: Final answer
    x = 3,755,508.27

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.