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Finding the Third Proportional to 2,682,274 and 5,748,064

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Solution

The third proportional to 2,682,274 and 5,748,064 is: 12,317,995.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682,274 : 5,748,064 = 5,748,064 : x
  2. Step 2: Convert to fraction form
    2,682,274/5,748,064 = 5,748,064/x
  3. Step 3: Cross multiply
    2,682,274x = 5,748,064 × 5,748,064
  4. Step 4: Simplify right side
    2,682,274x = 33,040,239,748,096
  5. Step 5: Solve for x
    x = 33,040,239,748,096/2,682,274
  6. Step 6: Final answer
    x = 12,317,995.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.