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Finding the Third Proportional to 2,981,233 and 6,434,588

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Solution

The third proportional to 2,981,233 and 6,434,588 is: 13,888,187.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981,233 : 6,434,588 = 6,434,588 : x
  2. Step 2: Convert to fraction form
    2,981,233/6,434,588 = 6,434,588/x
  3. Step 3: Cross multiply
    2,981,233x = 6,434,588 × 6,434,588
  4. Step 4: Simplify right side
    2,981,233x = 41,403,922,729,744
  5. Step 5: Solve for x
    x = 41,403,922,729,744/2,981,233
  6. Step 6: Final answer
    x = 13,888,187.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.