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Finding the Third Proportional to 1,467,974 and 3,224,631

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Solution

The third proportional to 1,467,974 and 3,224,631 is: 7,083,398.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467,974 : 3,224,631 = 3,224,631 : x
  2. Step 2: Convert to fraction form
    1,467,974/3,224,631 = 3,224,631/x
  3. Step 3: Cross multiply
    1,467,974x = 3,224,631 × 3,224,631
  4. Step 4: Simplify right side
    1,467,974x = 10,398,245,086,161
  5. Step 5: Solve for x
    x = 10,398,245,086,161/1,467,974
  6. Step 6: Final answer
    x = 7,083,398.67

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.