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Finding the Third Proportional to 1,444,932.11 and 3,175,882.80

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Solution

The third proportional to 1,444,932.11 and 3,175,882.80 is: 6,980,419.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444,932.11 : 3,175,882.80 = 3,175,882.80 : x
  2. Step 2: Convert to fraction form
    1,444,932.11/3,175,882.80 = 3,175,882.80/x
  3. Step 3: Cross multiply
    1,444,932.11x = 3,175,882.80 × 3,175,882.80
  4. Step 4: Simplify right side
    1,444,932.11x = 10,086,231,589,110.38
  5. Step 5: Solve for x
    x = 10,086,231,589,110.38/1,444,932.11
  6. Step 6: Final answer
    x = 6,980,419.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.