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Finding the Third Proportional to 2,080,989 and 4,540,146.75

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Solution

The third proportional to 2,080,989 and 4,540,146.75 is: 9,905,353.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080,989 : 4,540,146.75 = 4,540,146.75 : x
  2. Step 2: Convert to fraction form
    2,080,989/4,540,146.75 = 4,540,146.75/x
  3. Step 3: Cross multiply
    2,080,989x = 4,540,146.75 × 4,540,146.75
  4. Step 4: Simplify right side
    2,080,989x = 20,612,932,511,535.56
  5. Step 5: Solve for x
    x = 20,612,932,511,535.56/2,080,989
  6. Step 6: Final answer
    x = 9,905,353.90

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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.