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Finding the Third Proportional to 2,397,900 and 5,135,888

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Solution

The third proportional to 2,397,900 and 5,135,888 is: 11,000,185.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397,900 : 5,135,888 = 5,135,888 : x
  2. Step 2: Convert to fraction form
    2,397,900/5,135,888 = 5,135,888/x
  3. Step 3: Cross multiply
    2,397,900x = 5,135,888 × 5,135,888
  4. Step 4: Simplify right side
    2,397,900x = 26,377,345,548,544
  5. Step 5: Solve for x
    x = 26,377,345,548,544/2,397,900
  6. Step 6: Final answer
    x = 11,000,185.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.