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Finding the Third Proportional to 1,229,997 and 2,702,142

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Solution

The third proportional to 1,229,997 and 2,702,142 is: 5,936,251.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229,997 : 2,702,142 = 2,702,142 : x
  2. Step 2: Convert to fraction form
    1,229,997/2,702,142 = 2,702,142/x
  3. Step 3: Cross multiply
    1,229,997x = 2,702,142 × 2,702,142
  4. Step 4: Simplify right side
    1,229,997x = 7,301,571,388,164
  5. Step 5: Solve for x
    x = 7,301,571,388,164/1,229,997
  6. Step 6: Final answer
    x = 5,936,251.38

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.