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Finding the Third Proportional to 2,000,408.91 and 2,858,538.09

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Solution

The third proportional to 2,000,408.91 and 2,858,538.09 is: 4,084,784.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000,408.91 : 2,858,538.09 = 2,858,538.09 : x
  2. Step 2: Convert to fraction form
    2,000,408.91/2,858,538.09 = 2,858,538.09/x
  3. Step 3: Cross multiply
    2,000,408.91x = 2,858,538.09 × 2,858,538.09
  4. Step 4: Simplify right side
    2,000,408.91x = 8,171,240,033,419.88
  5. Step 5: Solve for x
    x = 8,171,240,033,419.88/2,000,408.91
  6. Step 6: Final answer
    x = 4,084,784.87

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.