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Finding the Third Proportional to 2,380,992 and 5,619,600

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Solution

The third proportional to 2,380,992 and 5,619,600 is: 13,263,339.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380,992 : 5,619,600 = 5,619,600 : x
  2. Step 2: Convert to fraction form
    2,380,992/5,619,600 = 5,619,600/x
  3. Step 3: Cross multiply
    2,380,992x = 5,619,600 × 5,619,600
  4. Step 4: Simplify right side
    2,380,992x = 31,579,904,160,000
  5. Step 5: Solve for x
    x = 31,579,904,160,000/2,380,992
  6. Step 6: Final answer
    x = 13,263,339.05

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.