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Finding the Third Proportional to 1,644,715.13 and 2,467,072.69

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Solution

The third proportional to 1,644,715.13 and 2,467,072.69 is: 3,700,609.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644,715.13 : 2,467,072.69 = 2,467,072.69 : x
  2. Step 2: Convert to fraction form
    1,644,715.13/2,467,072.69 = 2,467,072.69/x
  3. Step 3: Cross multiply
    1,644,715.13x = 2,467,072.69 × 2,467,072.69
  4. Step 4: Simplify right side
    1,644,715.13x = 6,086,447,645,408.47
  5. Step 5: Solve for x
    x = 6,086,447,645,408.47/1,644,715.13
  6. Step 6: Final answer
    x = 3,700,609.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.