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Finding the Third Proportional to 3,197,903 and 6,524,266

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Solution

The third proportional to 3,197,903 and 6,524,266 is: 13,310,612.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197,903 : 6,524,266 = 6,524,266 : x
  2. Step 2: Convert to fraction form
    3,197,903/6,524,266 = 6,524,266/x
  3. Step 3: Cross multiply
    3,197,903x = 6,524,266 × 6,524,266
  4. Step 4: Simplify right side
    3,197,903x = 42,566,046,838,756
  5. Step 5: Solve for x
    x = 42,566,046,838,756/3,197,903
  6. Step 6: Final answer
    x = 13,310,612.25

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.