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Finding the Third Proportional to 1,467,728 and 3,224,864

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Solution

The third proportional to 1,467,728 and 3,224,864 is: 7,085,609.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467,728 : 3,224,864 = 3,224,864 : x
  2. Step 2: Convert to fraction form
    1,467,728/3,224,864 = 3,224,864/x
  3. Step 3: Cross multiply
    1,467,728x = 3,224,864 × 3,224,864
  4. Step 4: Simplify right side
    1,467,728x = 10,399,747,818,496
  5. Step 5: Solve for x
    x = 10,399,747,818,496/1,467,728
  6. Step 6: Final answer
    x = 7,085,609.74

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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.