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Finding the Third Proportional to 1,401,452 and 3,074,198

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Solution

The third proportional to 1,401,452 and 3,074,198 is: 6,743,501.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401,452 : 3,074,198 = 3,074,198 : x
  2. Step 2: Convert to fraction form
    1,401,452/3,074,198 = 3,074,198/x
  3. Step 3: Cross multiply
    1,401,452x = 3,074,198 × 3,074,198
  4. Step 4: Simplify right side
    1,401,452x = 9,450,693,343,204
  5. Step 5: Solve for x
    x = 9,450,693,343,204/1,401,452
  6. Step 6: Final answer
    x = 6,743,501.27

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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.