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Finding the Third Proportional to 445,458 and 959,847

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Solution

The third proportional to 445,458 and 959,847 is: 2,068,222.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,458 : 959,847 = 959,847 : x
  2. Step 2: Convert to fraction form
    445,458/959,847 = 959,847/x
  3. Step 3: Cross multiply
    445,458x = 959,847 × 959,847
  4. Step 4: Simplify right side
    445,458x = 921,306,263,409
  5. Step 5: Solve for x
    x = 921,306,263,409/445,458
  6. Step 6: Final answer
    x = 2,068,222.51

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Why These Related Problems?

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