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Finding the Third Proportional to 1,491,744 and 3,265,620

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Solution

The third proportional to 1,491,744 and 3,265,620 is: 7,148,863.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,491,744 : 3,265,620 = 3,265,620 : x
  2. Step 2: Convert to fraction form
    1,491,744/3,265,620 = 3,265,620/x
  3. Step 3: Cross multiply
    1,491,744x = 3,265,620 × 3,265,620
  4. Step 4: Simplify right side
    1,491,744x = 10,664,273,984,400
  5. Step 5: Solve for x
    x = 10,664,273,984,400/1,491,744
  6. Step 6: Final answer
    x = 7,148,863.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.