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Finding the Third Proportional to 1,453,882.50 and 3,172,141.41

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Solution

The third proportional to 1,453,882.50 and 3,172,141.41 is: 6,921,110.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453,882.50 : 3,172,141.41 = 3,172,141.41 : x
  2. Step 2: Convert to fraction form
    1,453,882.50/3,172,141.41 = 3,172,141.41/x
  3. Step 3: Cross multiply
    1,453,882.50x = 3,172,141.41 × 3,172,141.41
  4. Step 4: Simplify right side
    1,453,882.50x = 10,062,481,101,245.73
  5. Step 5: Solve for x
    x = 10,062,481,101,245.73/1,453,882.50
  6. Step 6: Final answer
    x = 6,921,110.27

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.