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Finding the Third Proportional to 980,100 and 2,102,010.75

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Solution

The third proportional to 980,100 and 2,102,010.75 is: 4,508,161.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    980,100 : 2,102,010.75 = 2,102,010.75 : x
  2. Step 2: Convert to fraction form
    980,100/2,102,010.75 = 2,102,010.75/x
  3. Step 3: Cross multiply
    980,100x = 2,102,010.75 × 2,102,010.75
  4. Step 4: Simplify right side
    980,100x = 4,418,449,193,115.56
  5. Step 5: Solve for x
    x = 4,418,449,193,115.56/980,100
  6. Step 6: Final answer
    x = 4,508,161.61

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.