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Finding the Third Proportional to 2,218,974 and 3,328,514

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Solution

The third proportional to 2,218,974 and 3,328,514 is: 4,992,850.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,218,974 : 3,328,514 = 3,328,514 : x
  2. Step 2: Convert to fraction form
    2,218,974/3,328,514 = 3,328,514/x
  3. Step 3: Cross multiply
    2,218,974x = 3,328,514 × 3,328,514
  4. Step 4: Simplify right side
    2,218,974x = 11,079,005,448,196
  5. Step 5: Solve for x
    x = 11,079,005,448,196/2,218,974
  6. Step 6: Final answer
    x = 4,992,850.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.