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Finding the Third Proportional to 398,947 and 874,196

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Solution

The third proportional to 398,947 and 874,196 is: 1,915,589.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,947 : 874,196 = 874,196 : x
  2. Step 2: Convert to fraction form
    398,947/874,196 = 874,196/x
  3. Step 3: Cross multiply
    398,947x = 874,196 × 874,196
  4. Step 4: Simplify right side
    398,947x = 764,218,646,416
  5. Step 5: Solve for x
    x = 764,218,646,416/398,947
  6. Step 6: Final answer
    x = 1,915,589.41

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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.