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Finding the Third Proportional to 952,208 and 1,983,328

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Solution

The third proportional to 952,208 and 1,983,328 is: 4,131,019.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    952,208 : 1,983,328 = 1,983,328 : x
  2. Step 2: Convert to fraction form
    952,208/1,983,328 = 1,983,328/x
  3. Step 3: Cross multiply
    952,208x = 1,983,328 × 1,983,328
  4. Step 4: Simplify right side
    952,208x = 3,933,589,955,584
  5. Step 5: Solve for x
    x = 3,933,589,955,584/952,208
  6. Step 6: Final answer
    x = 4,131,019.65

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.