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Finding the Third Proportional to 416,682 and 898,245

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Solution

The third proportional to 416,682 and 898,245 is: 1,936,354.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,682 : 898,245 = 898,245 : x
  2. Step 2: Convert to fraction form
    416,682/898,245 = 898,245/x
  3. Step 3: Cross multiply
    416,682x = 898,245 × 898,245
  4. Step 4: Simplify right side
    416,682x = 806,844,080,025
  5. Step 5: Solve for x
    x = 806,844,080,025/416,682
  6. Step 6: Final answer
    x = 1,936,354.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.