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Finding the Third Proportional to 2,613,891 and 3,997,732.50

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Solution

The third proportional to 2,613,891 and 3,997,732.50 is: 6,114,204.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613,891 : 3,997,732.50 = 3,997,732.50 : x
  2. Step 2: Convert to fraction form
    2,613,891/3,997,732.50 = 3,997,732.50/x
  3. Step 3: Cross multiply
    2,613,891x = 3,997,732.50 × 3,997,732.50
  4. Step 4: Simplify right side
    2,613,891x = 15,981,865,141,556.25
  5. Step 5: Solve for x
    x = 15,981,865,141,556.25/2,613,891
  6. Step 6: Final answer
    x = 6,114,204.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.