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Finding the Third Proportional to 674,401 and 1,424,078

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Solution

The third proportional to 674,401 and 1,424,078 is: 3,007,110.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,401 : 1,424,078 = 1,424,078 : x
  2. Step 2: Convert to fraction form
    674,401/1,424,078 = 1,424,078/x
  3. Step 3: Cross multiply
    674,401x = 1,424,078 × 1,424,078
  4. Step 4: Simplify right side
    674,401x = 2,027,998,150,084
  5. Step 5: Solve for x
    x = 2,027,998,150,084/674,401
  6. Step 6: Final answer
    x = 3,007,110.24

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.