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Finding the Third Proportional to 2,701,089 and 4,120,245

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Solution

The third proportional to 2,701,089 and 4,120,245 is: 6,285,027.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701,089 : 4,120,245 = 4,120,245 : x
  2. Step 2: Convert to fraction form
    2,701,089/4,120,245 = 4,120,245/x
  3. Step 3: Cross multiply
    2,701,089x = 4,120,245 × 4,120,245
  4. Step 4: Simplify right side
    2,701,089x = 16,976,418,860,025
  5. Step 5: Solve for x
    x = 16,976,418,860,025/2,701,089
  6. Step 6: Final answer
    x = 6,285,027.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.