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Finding the Third Proportional to 2,004,021 and 3,023,163

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Solution

The third proportional to 2,004,021 and 3,023,163 is: 4,560,588.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004,021 : 3,023,163 = 3,023,163 : x
  2. Step 2: Convert to fraction form
    2,004,021/3,023,163 = 3,023,163/x
  3. Step 3: Cross multiply
    2,004,021x = 3,023,163 × 3,023,163
  4. Step 4: Simplify right side
    2,004,021x = 9,139,514,524,569
  5. Step 5: Solve for x
    x = 9,139,514,524,569/2,004,021
  6. Step 6: Final answer
    x = 4,560,588.20

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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.