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Finding the Third Proportional to 813,942.75 and 1,768,005

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Solution

The third proportional to 813,942.75 and 1,768,005 is: 3,840,370.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,942.75 : 1,768,005 = 1,768,005 : x
  2. Step 2: Convert to fraction form
    813,942.75/1,768,005 = 1,768,005/x
  3. Step 3: Cross multiply
    813,942.75x = 1,768,005 × 1,768,005
  4. Step 4: Simplify right side
    813,942.75x = 3,125,841,680,025
  5. Step 5: Solve for x
    x = 3,125,841,680,025/813,942.75
  6. Step 6: Final answer
    x = 3,840,370.44

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.