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Finding the Third Proportional to 3,560,206 and 5,509,257

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Solution

The third proportional to 3,560,206 and 5,509,257 is: 8,525,324.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,560,206 : 5,509,257 = 5,509,257 : x
  2. Step 2: Convert to fraction form
    3,560,206/5,509,257 = 5,509,257/x
  3. Step 3: Cross multiply
    3,560,206x = 5,509,257 × 5,509,257
  4. Step 4: Simplify right side
    3,560,206x = 30,351,912,692,049
  5. Step 5: Solve for x
    x = 30,351,912,692,049/3,560,206
  6. Step 6: Final answer
    x = 8,525,324.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.