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Finding the Third Proportional to 1,496,400 and 3,202,896

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Solution

The third proportional to 1,496,400 and 3,202,896 is: 6,855,481.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496,400 : 3,202,896 = 3,202,896 : x
  2. Step 2: Convert to fraction form
    1,496,400/3,202,896 = 3,202,896/x
  3. Step 3: Cross multiply
    1,496,400x = 3,202,896 × 3,202,896
  4. Step 4: Simplify right side
    1,496,400x = 10,258,542,786,816
  5. Step 5: Solve for x
    x = 10,258,542,786,816/1,496,400
  6. Step 6: Final answer
    x = 6,855,481.68

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.