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Finding the Third Proportional to 422,836.50 and 921,990

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Solution

The third proportional to 422,836.50 and 921,990 is: 2,010,388.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,836.50 : 921,990 = 921,990 : x
  2. Step 2: Convert to fraction form
    422,836.50/921,990 = 921,990/x
  3. Step 3: Cross multiply
    422,836.50x = 921,990 × 921,990
  4. Step 4: Simplify right side
    422,836.50x = 850,065,560,100
  5. Step 5: Solve for x
    x = 850,065,560,100/422,836.50
  6. Step 6: Final answer
    x = 2,010,388.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.