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Finding the Third Proportional to 548,584 and 822,876

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Solution

The third proportional to 548,584 and 822,876 is: 1,234,314

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,584 : 822,876 = 822,876 : x
  2. Step 2: Convert to fraction form
    548,584/822,876 = 822,876/x
  3. Step 3: Cross multiply
    548,584x = 822,876 × 822,876
  4. Step 4: Simplify right side
    548,584x = 677,124,911,376
  5. Step 5: Solve for x
    x = 677,124,911,376/548,584
  6. Step 6: Final answer
    x = 1,234,314

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.