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Finding the Third Proportional to 2,649,408 and 5,898,377

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Solution

The third proportional to 2,649,408 and 5,898,377 is: 13,131,556.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649,408 : 5,898,377 = 5,898,377 : x
  2. Step 2: Convert to fraction form
    2,649,408/5,898,377 = 5,898,377/x
  3. Step 3: Cross multiply
    2,649,408x = 5,898,377 × 5,898,377
  4. Step 4: Simplify right side
    2,649,408x = 34,790,851,234,129
  5. Step 5: Solve for x
    x = 34,790,851,234,129/2,649,408
  6. Step 6: Final answer
    x = 13,131,556.65

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.