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Finding the Third Proportional to 2,685,669 and 5,234,286

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Solution

The third proportional to 2,685,669 and 5,234,286 is: 10,201,461.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685,669 : 5,234,286 = 5,234,286 : x
  2. Step 2: Convert to fraction form
    2,685,669/5,234,286 = 5,234,286/x
  3. Step 3: Cross multiply
    2,685,669x = 5,234,286 × 5,234,286
  4. Step 4: Simplify right side
    2,685,669x = 27,397,749,929,796
  5. Step 5: Solve for x
    x = 27,397,749,929,796/2,685,669
  6. Step 6: Final answer
    x = 10,201,461.88

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.