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Finding the Third Proportional to 441,990 and 948,495.75

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Solution

The third proportional to 441,990 and 948,495.75 is: 2,035,440.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,990 : 948,495.75 = 948,495.75 : x
  2. Step 2: Convert to fraction form
    441,990/948,495.75 = 948,495.75/x
  3. Step 3: Cross multiply
    441,990x = 948,495.75 × 948,495.75
  4. Step 4: Simplify right side
    441,990x = 899,644,187,768.06
  5. Step 5: Solve for x
    x = 899,644,187,768.06/441,990
  6. Step 6: Final answer
    x = 2,035,440.14

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.