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Finding the Third Proportional to 828,191 and 1,786,864

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Solution

The third proportional to 828,191 and 1,786,864 is: 3,855,249.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,191 : 1,786,864 = 1,786,864 : x
  2. Step 2: Convert to fraction form
    828,191/1,786,864 = 1,786,864/x
  3. Step 3: Cross multiply
    828,191x = 1,786,864 × 1,786,864
  4. Step 4: Simplify right side
    828,191x = 3,192,882,954,496
  5. Step 5: Solve for x
    x = 3,192,882,954,496/828,191
  6. Step 6: Final answer
    x = 3,855,249.52

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.