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Finding the Third Proportional to 3,197,906 and 6,524,272

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Solution

The third proportional to 3,197,906 and 6,524,272 is: 13,310,624.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197,906 : 6,524,272 = 6,524,272 : x
  2. Step 2: Convert to fraction form
    3,197,906/6,524,272 = 6,524,272/x
  3. Step 3: Cross multiply
    3,197,906x = 6,524,272 × 6,524,272
  4. Step 4: Simplify right side
    3,197,906x = 42,566,125,129,984
  5. Step 5: Solve for x
    x = 42,566,125,129,984/3,197,906
  6. Step 6: Final answer
    x = 13,310,624.24

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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.