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Finding the Third Proportional to 3,084,049 and 6,682,932

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Solution

The third proportional to 3,084,049 and 6,682,932 is: 14,481,475.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084,049 : 6,682,932 = 6,682,932 : x
  2. Step 2: Convert to fraction form
    3,084,049/6,682,932 = 6,682,932/x
  3. Step 3: Cross multiply
    3,084,049x = 6,682,932 × 6,682,932
  4. Step 4: Simplify right side
    3,084,049x = 44,661,580,116,624
  5. Step 5: Solve for x
    x = 44,661,580,116,624/3,084,049
  6. Step 6: Final answer
    x = 14,481,475.53

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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.