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Finding the Third Proportional to 775,638 and 1,621,544

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Solution

The third proportional to 775,638 and 1,621,544 is: 3,389,989.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,638 : 1,621,544 = 1,621,544 : x
  2. Step 2: Convert to fraction form
    775,638/1,621,544 = 1,621,544/x
  3. Step 3: Cross multiply
    775,638x = 1,621,544 × 1,621,544
  4. Step 4: Simplify right side
    775,638x = 2,629,404,943,936
  5. Step 5: Solve for x
    x = 2,629,404,943,936/775,638
  6. Step 6: Final answer
    x = 3,389,989.85

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.