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Finding the Third Proportional to 936,340 and 1,984,232

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Solution

The third proportional to 936,340 and 1,984,232 is: 4,204,857.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    936,340 : 1,984,232 = 1,984,232 : x
  2. Step 2: Convert to fraction form
    936,340/1,984,232 = 1,984,232/x
  3. Step 3: Cross multiply
    936,340x = 1,984,232 × 1,984,232
  4. Step 4: Simplify right side
    936,340x = 3,937,176,629,824
  5. Step 5: Solve for x
    x = 3,937,176,629,824/936,340
  6. Step 6: Final answer
    x = 4,204,857.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.