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Finding the Third Proportional to 2,746,921 and 4,040,982

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Solution

The third proportional to 2,746,921 and 4,040,982 is: 5,944,668.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746,921 : 4,040,982 = 4,040,982 : x
  2. Step 2: Convert to fraction form
    2,746,921/4,040,982 = 4,040,982/x
  3. Step 3: Cross multiply
    2,746,921x = 4,040,982 × 4,040,982
  4. Step 4: Simplify right side
    2,746,921x = 16,329,535,524,324
  5. Step 5: Solve for x
    x = 16,329,535,524,324/2,746,921
  6. Step 6: Final answer
    x = 5,944,668.79

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.