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Finding the Third Proportional to 2,651,049 and 4,204,568.25

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Solution

The third proportional to 2,651,049 and 4,204,568.25 is: 6,668,452.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651,049 : 4,204,568.25 = 4,204,568.25 : x
  2. Step 2: Convert to fraction form
    2,651,049/4,204,568.25 = 4,204,568.25/x
  3. Step 3: Cross multiply
    2,651,049x = 4,204,568.25 × 4,204,568.25
  4. Step 4: Simplify right side
    2,651,049x = 17,678,394,168,908.06
  5. Step 5: Solve for x
    x = 17,678,394,168,908.06/2,651,049
  6. Step 6: Final answer
    x = 6,668,452.44

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.