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Finding the Third Proportional to 3,407,802 and 7,270,257

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Solution

The third proportional to 3,407,802 and 7,270,257 is: 15,510,477.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407,802 : 7,270,257 = 7,270,257 : x
  2. Step 2: Convert to fraction form
    3,407,802/7,270,257 = 7,270,257/x
  3. Step 3: Cross multiply
    3,407,802x = 7,270,257 × 7,270,257
  4. Step 4: Simplify right side
    3,407,802x = 52,856,636,846,049
  5. Step 5: Solve for x
    x = 52,856,636,846,049/3,407,802
  6. Step 6: Final answer
    x = 15,510,477.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.