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Finding the Third Proportional to 821,560 and 1,098,906

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Solution

The third proportional to 821,560 and 1,098,906 is: 1,469,879.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,560 : 1,098,906 = 1,098,906 : x
  2. Step 2: Convert to fraction form
    821,560/1,098,906 = 1,098,906/x
  3. Step 3: Cross multiply
    821,560x = 1,098,906 × 1,098,906
  4. Step 4: Simplify right side
    821,560x = 1,207,594,396,836
  5. Step 5: Solve for x
    x = 1,207,594,396,836/821,560
  6. Step 6: Final answer
    x = 1,469,879.74

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.