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Finding the Third Proportional to 437,684 and 952,054.75

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Solution

The third proportional to 437,684 and 952,054.75 is: 2,070,919.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,684 : 952,054.75 = 952,054.75 : x
  2. Step 2: Convert to fraction form
    437,684/952,054.75 = 952,054.75/x
  3. Step 3: Cross multiply
    437,684x = 952,054.75 × 952,054.75
  4. Step 4: Simplify right side
    437,684x = 906,408,246,997.56
  5. Step 5: Solve for x
    x = 906,408,246,997.56/437,684
  6. Step 6: Final answer
    x = 2,070,919.31

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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.