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Finding the Third Proportional to 1,327,456 and 2,912,960

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Solution

The third proportional to 1,327,456 and 2,912,960 is: 6,392,178.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327,456 : 2,912,960 = 2,912,960 : x
  2. Step 2: Convert to fraction form
    1,327,456/2,912,960 = 2,912,960/x
  3. Step 3: Cross multiply
    1,327,456x = 2,912,960 × 2,912,960
  4. Step 4: Simplify right side
    1,327,456x = 8,485,335,961,600
  5. Step 5: Solve for x
    x = 8,485,335,961,600/1,327,456
  6. Step 6: Final answer
    x = 6,392,178.69

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.