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Finding the Third Proportional to 398,945 and 874,192

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Solution

The third proportional to 398,945 and 874,192 is: 1,915,581.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,945 : 874,192 = 874,192 : x
  2. Step 2: Convert to fraction form
    398,945/874,192 = 874,192/x
  3. Step 3: Cross multiply
    398,945x = 874,192 × 874,192
  4. Step 4: Simplify right side
    398,945x = 764,211,652,864
  5. Step 5: Solve for x
    x = 764,211,652,864/398,945
  6. Step 6: Final answer
    x = 1,915,581.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.