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Finding the Third Proportional to 420,231.38 and 899,511.75

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Solution

The third proportional to 420,231.38 and 899,511.75 is: 1,925,418.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,231.38 : 899,511.75 = 899,511.75 : x
  2. Step 2: Convert to fraction form
    420,231.38/899,511.75 = 899,511.75/x
  3. Step 3: Cross multiply
    420,231.38x = 899,511.75 × 899,511.75
  4. Step 4: Simplify right side
    420,231.38x = 809,121,388,388.06
  5. Step 5: Solve for x
    x = 809,121,388,388.06/420,231.38
  6. Step 6: Final answer
    x = 1,925,418.80

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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.