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Finding the Third Proportional to 416,874 and 898,050

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Solution

The third proportional to 416,874 and 898,050 is: 1,934,622.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,874 : 898,050 = 898,050 : x
  2. Step 2: Convert to fraction form
    416,874/898,050 = 898,050/x
  3. Step 3: Cross multiply
    416,874x = 898,050 × 898,050
  4. Step 4: Simplify right side
    416,874x = 806,493,802,500
  5. Step 5: Solve for x
    x = 806,493,802,500/416,874
  6. Step 6: Final answer
    x = 1,934,622.46

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.