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Finding the Third Proportional to 536,478 and 996,876

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Solution

The third proportional to 536,478 and 996,876 is: 1,852,381.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,478 : 996,876 = 996,876 : x
  2. Step 2: Convert to fraction form
    536,478/996,876 = 996,876/x
  3. Step 3: Cross multiply
    536,478x = 996,876 × 996,876
  4. Step 4: Simplify right side
    536,478x = 993,761,759,376
  5. Step 5: Solve for x
    x = 993,761,759,376/536,478
  6. Step 6: Final answer
    x = 1,852,381.20

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.