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Finding the Third Proportional to 1,227,739 and 2,678,491

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Solution

The third proportional to 1,227,739 and 2,678,491 is: 5,843,517.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227,739 : 2,678,491 = 2,678,491 : x
  2. Step 2: Convert to fraction form
    1,227,739/2,678,491 = 2,678,491/x
  3. Step 3: Cross multiply
    1,227,739x = 2,678,491 × 2,678,491
  4. Step 4: Simplify right side
    1,227,739x = 7,174,314,037,081
  5. Step 5: Solve for x
    x = 7,174,314,037,081/1,227,739
  6. Step 6: Final answer
    x = 5,843,517.26

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.