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Finding the Third Proportional to 1,074,138 and 2,340,003

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Solution

The third proportional to 1,074,138 and 2,340,003 is: 5,097,682.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074,138 : 2,340,003 = 2,340,003 : x
  2. Step 2: Convert to fraction form
    1,074,138/2,340,003 = 2,340,003/x
  3. Step 3: Cross multiply
    1,074,138x = 2,340,003 × 2,340,003
  4. Step 4: Simplify right side
    1,074,138x = 5,475,614,040,009
  5. Step 5: Solve for x
    x = 5,475,614,040,009/1,074,138
  6. Step 6: Final answer
    x = 5,097,682.09

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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.