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Finding the Third Proportional to 931,105.13 and 2,080,186.31

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Solution

The third proportional to 931,105.13 and 2,080,186.31 is: 4,647,353.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    931,105.13 : 2,080,186.31 = 2,080,186.31 : x
  2. Step 2: Convert to fraction form
    931,105.13/2,080,186.31 = 2,080,186.31/x
  3. Step 3: Cross multiply
    931,105.13x = 2,080,186.31 × 2,080,186.31
  4. Step 4: Simplify right side
    931,105.13x = 4,327,175,094,712.35
  5. Step 5: Solve for x
    x = 4,327,175,094,712.35/931,105.13
  6. Step 6: Final answer
    x = 4,647,353.97

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.