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Finding the Third Proportional to 3,954,470 and 6,162,903

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Solution

The third proportional to 3,954,470 and 6,162,903 is: 9,604,668.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954,470 : 6,162,903 = 6,162,903 : x
  2. Step 2: Convert to fraction form
    3,954,470/6,162,903 = 6,162,903/x
  3. Step 3: Cross multiply
    3,954,470x = 6,162,903 × 6,162,903
  4. Step 4: Simplify right side
    3,954,470x = 37,981,373,387,409
  5. Step 5: Solve for x
    x = 37,981,373,387,409/3,954,470
  6. Step 6: Final answer
    x = 9,604,668.49

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.