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Finding the Third Proportional to 2,033,082 and 4,420,296

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Solution

The third proportional to 2,033,082 and 4,420,296 is: 9,610,540.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033,082 : 4,420,296 = 4,420,296 : x
  2. Step 2: Convert to fraction form
    2,033,082/4,420,296 = 4,420,296/x
  3. Step 3: Cross multiply
    2,033,082x = 4,420,296 × 4,420,296
  4. Step 4: Simplify right side
    2,033,082x = 19,539,016,727,616
  5. Step 5: Solve for x
    x = 19,539,016,727,616/2,033,082
  6. Step 6: Final answer
    x = 9,610,540.41

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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.