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Finding the Third Proportional to 2,608,204 and 5,384,024

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Solution

The third proportional to 2,608,204 and 5,384,024 is: 11,114,051.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,608,204 : 5,384,024 = 5,384,024 : x
  2. Step 2: Convert to fraction form
    2,608,204/5,384,024 = 5,384,024/x
  3. Step 3: Cross multiply
    2,608,204x = 5,384,024 × 5,384,024
  4. Step 4: Simplify right side
    2,608,204x = 28,987,714,432,576
  5. Step 5: Solve for x
    x = 28,987,714,432,576/2,608,204
  6. Step 6: Final answer
    x = 11,114,051.83

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.