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Finding the Third Proportional to 2,198,311 and 4,772,619

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Solution

The third proportional to 2,198,311 and 4,772,619 is: 10,361,542.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198,311 : 4,772,619 = 4,772,619 : x
  2. Step 2: Convert to fraction form
    2,198,311/4,772,619 = 4,772,619/x
  3. Step 3: Cross multiply
    2,198,311x = 4,772,619 × 4,772,619
  4. Step 4: Simplify right side
    2,198,311x = 22,777,892,119,161
  5. Step 5: Solve for x
    x = 22,777,892,119,161/2,198,311
  6. Step 6: Final answer
    x = 10,361,542.17

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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.