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Finding the Third Proportional to 381,596 and 828,748

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Solution

The third proportional to 381,596 and 828,748 is: 1,799,870.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,596 : 828,748 = 828,748 : x
  2. Step 2: Convert to fraction form
    381,596/828,748 = 828,748/x
  3. Step 3: Cross multiply
    381,596x = 828,748 × 828,748
  4. Step 4: Simplify right side
    381,596x = 686,823,247,504
  5. Step 5: Solve for x
    x = 686,823,247,504/381,596
  6. Step 6: Final answer
    x = 1,799,870.14

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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.