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Finding the Third Proportional to 410,726 and 898,876

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Solution

The third proportional to 410,726 and 898,876 is: 1,967,194.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,726 : 898,876 = 898,876 : x
  2. Step 2: Convert to fraction form
    410,726/898,876 = 898,876/x
  3. Step 3: Cross multiply
    410,726x = 898,876 × 898,876
  4. Step 4: Simplify right side
    410,726x = 807,978,063,376
  5. Step 5: Solve for x
    x = 807,978,063,376/410,726
  6. Step 6: Final answer
    x = 1,967,194.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.