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Finding the Third Proportional to 381,570 and 828,696

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Solution

The third proportional to 381,570 and 828,696 is: 1,799,766.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,570 : 828,696 = 828,696 : x
  2. Step 2: Convert to fraction form
    381,570/828,696 = 828,696/x
  3. Step 3: Cross multiply
    381,570x = 828,696 × 828,696
  4. Step 4: Simplify right side
    381,570x = 686,737,060,416
  5. Step 5: Solve for x
    x = 686,737,060,416/381,570
  6. Step 6: Final answer
    x = 1,799,766.91

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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.