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Finding the Third Proportional to 3,864,069 and 5,247,722.25

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Solution

The third proportional to 3,864,069 and 5,247,722.25 is: 7,126,836.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864,069 : 5,247,722.25 = 5,247,722.25 : x
  2. Step 2: Convert to fraction form
    3,864,069/5,247,722.25 = 5,247,722.25/x
  3. Step 3: Cross multiply
    3,864,069x = 5,247,722.25 × 5,247,722.25
  4. Step 4: Simplify right side
    3,864,069x = 27,538,588,813,145.06
  5. Step 5: Solve for x
    x = 27,538,588,813,145.06/3,864,069
  6. Step 6: Final answer
    x = 7,126,836.71

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.