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Finding the Third Proportional to 2,649,171 and 5,721,799

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Solution

The third proportional to 2,649,171 and 5,721,799 is: 12,358,199.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649,171 : 5,721,799 = 5,721,799 : x
  2. Step 2: Convert to fraction form
    2,649,171/5,721,799 = 5,721,799/x
  3. Step 3: Cross multiply
    2,649,171x = 5,721,799 × 5,721,799
  4. Step 4: Simplify right side
    2,649,171x = 32,738,983,796,401
  5. Step 5: Solve for x
    x = 32,738,983,796,401/2,649,171
  6. Step 6: Final answer
    x = 12,358,199.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.