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Finding the Third Proportional to 1,968,059 and 3,213,663

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Solution

The third proportional to 1,968,059 and 3,213,663 is: 5,247,622.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968,059 : 3,213,663 = 3,213,663 : x
  2. Step 2: Convert to fraction form
    1,968,059/3,213,663 = 3,213,663/x
  3. Step 3: Cross multiply
    1,968,059x = 3,213,663 × 3,213,663
  4. Step 4: Simplify right side
    1,968,059x = 10,327,629,877,569
  5. Step 5: Solve for x
    x = 10,327,629,877,569/1,968,059
  6. Step 6: Final answer
    x = 5,247,622.09

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.