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Finding the Third Proportional to 1,540,339 and 3,434,849

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Solution

The third proportional to 1,540,339 and 3,434,849 is: 7,659,474.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540,339 : 3,434,849 = 3,434,849 : x
  2. Step 2: Convert to fraction form
    1,540,339/3,434,849 = 3,434,849/x
  3. Step 3: Cross multiply
    1,540,339x = 3,434,849 × 3,434,849
  4. Step 4: Simplify right side
    1,540,339x = 11,798,187,652,801
  5. Step 5: Solve for x
    x = 11,798,187,652,801/1,540,339
  6. Step 6: Final answer
    x = 7,659,474.73

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.