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Finding the Third Proportional to 1,424,742.25 and 2,907,622

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Solution

The third proportional to 1,424,742.25 and 2,907,622 is: 5,933,891.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424,742.25 : 2,907,622 = 2,907,622 : x
  2. Step 2: Convert to fraction form
    1,424,742.25/2,907,622 = 2,907,622/x
  3. Step 3: Cross multiply
    1,424,742.25x = 2,907,622 × 2,907,622
  4. Step 4: Simplify right side
    1,424,742.25x = 8,454,265,694,884
  5. Step 5: Solve for x
    x = 8,454,265,694,884/1,424,742.25
  6. Step 6: Final answer
    x = 5,933,891.34

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.