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Finding the Third Proportional to 381,217 and 828,834

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Solution

The third proportional to 381,217 and 828,834 is: 1,802,033.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,217 : 828,834 = 828,834 : x
  2. Step 2: Convert to fraction form
    381,217/828,834 = 828,834/x
  3. Step 3: Cross multiply
    381,217x = 828,834 × 828,834
  4. Step 4: Simplify right side
    381,217x = 686,965,799,556
  5. Step 5: Solve for x
    x = 686,965,799,556/381,217
  6. Step 6: Final answer
    x = 1,802,033.49

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Why These Related Problems?

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