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Finding the Third Proportional to 2,265,867 and 4,930,158

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Solution

The third proportional to 2,265,867 and 4,930,158 is: 10,727,221.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265,867 : 4,930,158 = 4,930,158 : x
  2. Step 2: Convert to fraction form
    2,265,867/4,930,158 = 4,930,158/x
  3. Step 3: Cross multiply
    2,265,867x = 4,930,158 × 4,930,158
  4. Step 4: Simplify right side
    2,265,867x = 24,306,457,904,964
  5. Step 5: Solve for x
    x = 24,306,457,904,964/2,265,867
  6. Step 6: Final answer
    x = 10,727,221.81

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Why These Related Problems?

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