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Finding the Third Proportional to 1,612,224 and 3,519,180

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Solution

The third proportional to 1,612,224 and 3,519,180 is: 7,681,704.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612,224 : 3,519,180 = 3,519,180 : x
  2. Step 2: Convert to fraction form
    1,612,224/3,519,180 = 3,519,180/x
  3. Step 3: Cross multiply
    1,612,224x = 3,519,180 × 3,519,180
  4. Step 4: Simplify right side
    1,612,224x = 12,384,627,872,400
  5. Step 5: Solve for x
    x = 12,384,627,872,400/1,612,224
  6. Step 6: Final answer
    x = 7,681,704.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.