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Finding the Third Proportional to 3,914,760.38 and 5,989,145.06

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Solution

The third proportional to 3,914,760.38 and 5,989,145.06 is: 9,162,721.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,914,760.38 : 5,989,145.06 = 5,989,145.06 : x
  2. Step 2: Convert to fraction form
    3,914,760.38/5,989,145.06 = 5,989,145.06/x
  3. Step 3: Cross multiply
    3,914,760.38x = 5,989,145.06 × 5,989,145.06
  4. Step 4: Simplify right side
    3,914,760.38x = 35,869,858,579,668.12
  5. Step 5: Solve for x
    x = 35,869,858,579,668.12/3,914,760.38
  6. Step 6: Final answer
    x = 9,162,721.38

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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.