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Finding the Third Proportional to 1,524,523.78 and 3,314,757.94

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Solution

The third proportional to 1,524,523.78 and 3,314,757.94 is: 7,207,247.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524,523.78 : 3,314,757.94 = 3,314,757.94 : x
  2. Step 2: Convert to fraction form
    1,524,523.78/3,314,757.94 = 3,314,757.94/x
  3. Step 3: Cross multiply
    1,524,523.78x = 3,314,757.94 × 3,314,757.94
  4. Step 4: Simplify right side
    1,524,523.78x = 10,987,620,184,219.25
  5. Step 5: Solve for x
    x = 10,987,620,184,219.25/1,524,523.78
  6. Step 6: Final answer
    x = 7,207,247.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.