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Finding the Third Proportional to 452,208 and 982,176

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Solution

The third proportional to 452,208 and 982,176 is: 2,133,243.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,208 : 982,176 = 982,176 : x
  2. Step 2: Convert to fraction form
    452,208/982,176 = 982,176/x
  3. Step 3: Cross multiply
    452,208x = 982,176 × 982,176
  4. Step 4: Simplify right side
    452,208x = 964,669,694,976
  5. Step 5: Solve for x
    x = 964,669,694,976/452,208
  6. Step 6: Final answer
    x = 2,133,243.32

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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.