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Finding the Third Proportional to 1,082,396 and 2,338,234

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Solution

The third proportional to 1,082,396 and 2,338,234 is: 5,051,144.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082,396 : 2,338,234 = 2,338,234 : x
  2. Step 2: Convert to fraction form
    1,082,396/2,338,234 = 2,338,234/x
  3. Step 3: Cross multiply
    1,082,396x = 2,338,234 × 2,338,234
  4. Step 4: Simplify right side
    1,082,396x = 5,467,338,238,756
  5. Step 5: Solve for x
    x = 5,467,338,238,756/1,082,396
  6. Step 6: Final answer
    x = 5,051,144.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.