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Finding the Third Proportional to 3,988,936.13 and 5,981,946.19

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Solution

The third proportional to 3,988,936.13 and 5,981,946.19 is: 8,970,732.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,988,936.13 : 5,981,946.19 = 5,981,946.19 : x
  2. Step 2: Convert to fraction form
    3,988,936.13/5,981,946.19 = 5,981,946.19/x
  3. Step 3: Cross multiply
    3,988,936.13x = 5,981,946.19 × 5,981,946.19
  4. Step 4: Simplify right side
    3,988,936.13x = 35,783,680,190,145.78
  5. Step 5: Solve for x
    x = 35,783,680,190,145.78/3,988,936.13
  6. Step 6: Final answer
    x = 8,970,732.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.