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Finding the Third Proportional to 407,022 and 895,245

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Solution

The third proportional to 407,022 and 895,245 is: 1,969,091.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,022 : 895,245 = 895,245 : x
  2. Step 2: Convert to fraction form
    407,022/895,245 = 895,245/x
  3. Step 3: Cross multiply
    407,022x = 895,245 × 895,245
  4. Step 4: Simplify right side
    407,022x = 801,463,610,025
  5. Step 5: Solve for x
    x = 801,463,610,025/407,022
  6. Step 6: Final answer
    x = 1,969,091.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.