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Finding the Third Proportional to 603,734 and 1,396,544

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Solution

The third proportional to 603,734 and 1,396,544 is: 3,230,454.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,734 : 1,396,544 = 1,396,544 : x
  2. Step 2: Convert to fraction form
    603,734/1,396,544 = 1,396,544/x
  3. Step 3: Cross multiply
    603,734x = 1,396,544 × 1,396,544
  4. Step 4: Simplify right side
    603,734x = 1,950,335,143,936
  5. Step 5: Solve for x
    x = 1,950,335,143,936/603,734
  6. Step 6: Final answer
    x = 3,230,454.38

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.