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Finding the Third Proportional to 1,603,624.50 and 3,233,493

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Solution

The third proportional to 1,603,624.50 and 3,233,493 is: 6,519,903.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603,624.50 : 3,233,493 = 3,233,493 : x
  2. Step 2: Convert to fraction form
    1,603,624.50/3,233,493 = 3,233,493/x
  3. Step 3: Cross multiply
    1,603,624.50x = 3,233,493 × 3,233,493
  4. Step 4: Simplify right side
    1,603,624.50x = 10,455,476,981,049
  5. Step 5: Solve for x
    x = 10,455,476,981,049/1,603,624.50
  6. Step 6: Final answer
    x = 6,519,903.49

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.