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Finding the Third Proportional to 1,968,064 and 3,213,671

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Solution

The third proportional to 1,968,064 and 3,213,671 is: 5,247,634.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968,064 : 3,213,671 = 3,213,671 : x
  2. Step 2: Convert to fraction form
    1,968,064/3,213,671 = 3,213,671/x
  3. Step 3: Cross multiply
    1,968,064x = 3,213,671 × 3,213,671
  4. Step 4: Simplify right side
    1,968,064x = 10,327,681,296,241
  5. Step 5: Solve for x
    x = 10,327,681,296,241/1,968,064
  6. Step 6: Final answer
    x = 5,247,634.88

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