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Finding the Third Proportional to 1,271,646 and 2,761,992

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Solution

The third proportional to 1,271,646 and 2,761,992 is: 5,998,996.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271,646 : 2,761,992 = 2,761,992 : x
  2. Step 2: Convert to fraction form
    1,271,646/2,761,992 = 2,761,992/x
  3. Step 3: Cross multiply
    1,271,646x = 2,761,992 × 2,761,992
  4. Step 4: Simplify right side
    1,271,646x = 7,628,599,808,064
  5. Step 5: Solve for x
    x = 7,628,599,808,064/1,271,646
  6. Step 6: Final answer
    x = 5,998,996.43

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.