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Finding the Third Proportional to 425,992.75 and 911,837.75

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Solution

The third proportional to 425,992.75 and 911,837.75 is: 1,951,789.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,992.75 : 911,837.75 = 911,837.75 : x
  2. Step 2: Convert to fraction form
    425,992.75/911,837.75 = 911,837.75/x
  3. Step 3: Cross multiply
    425,992.75x = 911,837.75 × 911,837.75
  4. Step 4: Simplify right side
    425,992.75x = 831,448,082,325.06
  5. Step 5: Solve for x
    x = 831,448,082,325.06/425,992.75
  6. Step 6: Final answer
    x = 1,951,789.28

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.