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Finding the Third Proportional to 452,794 and 984,212

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Solution

The third proportional to 452,794 and 984,212 is: 2,139,324.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,794 : 984,212 = 984,212 : x
  2. Step 2: Convert to fraction form
    452,794/984,212 = 984,212/x
  3. Step 3: Cross multiply
    452,794x = 984,212 × 984,212
  4. Step 4: Simplify right side
    452,794x = 968,673,260,944
  5. Step 5: Solve for x
    x = 968,673,260,944/452,794
  6. Step 6: Final answer
    x = 2,139,324.42

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Why These Related Problems?

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