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Finding the Third Proportional to 2,040,224 and 3,148,114

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Solution

The third proportional to 2,040,224 and 3,148,114 is: 4,857,614.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,040,224 : 3,148,114 = 3,148,114 : x
  2. Step 2: Convert to fraction form
    2,040,224/3,148,114 = 3,148,114/x
  3. Step 3: Cross multiply
    2,040,224x = 3,148,114 × 3,148,114
  4. Step 4: Simplify right side
    2,040,224x = 9,910,621,756,996
  5. Step 5: Solve for x
    x = 9,910,621,756,996/2,040,224
  6. Step 6: Final answer
    x = 4,857,614.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.