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Finding the Third Proportional to 2,534,019 and 5,464,128

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Solution

The third proportional to 2,534,019 and 5,464,128 is: 11,782,348.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534,019 : 5,464,128 = 5,464,128 : x
  2. Step 2: Convert to fraction form
    2,534,019/5,464,128 = 5,464,128/x
  3. Step 3: Cross multiply
    2,534,019x = 5,464,128 × 5,464,128
  4. Step 4: Simplify right side
    2,534,019x = 29,856,694,800,384
  5. Step 5: Solve for x
    x = 29,856,694,800,384/2,534,019
  6. Step 6: Final answer
    x = 11,782,348.44

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.