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Finding the Third Proportional to 2,749,676 and 4,040,280

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Solution

The third proportional to 2,749,676 and 4,040,280 is: 5,936,649.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749,676 : 4,040,280 = 4,040,280 : x
  2. Step 2: Convert to fraction form
    2,749,676/4,040,280 = 4,040,280/x
  3. Step 3: Cross multiply
    2,749,676x = 4,040,280 × 4,040,280
  4. Step 4: Simplify right side
    2,749,676x = 16,323,862,478,400
  5. Step 5: Solve for x
    x = 16,323,862,478,400/2,749,676
  6. Step 6: Final answer
    x = 5,936,649.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.