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Finding the Third Proportional to 2,082,210 and 3,149,559

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Solution

The third proportional to 2,082,210 and 3,149,559 is: 4,764,035.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082,210 : 3,149,559 = 3,149,559 : x
  2. Step 2: Convert to fraction form
    2,082,210/3,149,559 = 3,149,559/x
  3. Step 3: Cross multiply
    2,082,210x = 3,149,559 × 3,149,559
  4. Step 4: Simplify right side
    2,082,210x = 9,919,721,894,481
  5. Step 5: Solve for x
    x = 9,919,721,894,481/2,082,210
  6. Step 6: Final answer
    x = 4,764,035.28

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.