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Finding the Third Proportional to 1,015,105.08 and 2,257,170.47

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Solution

The third proportional to 1,015,105.08 and 2,257,170.47 is: 5,019,006.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015,105.08 : 2,257,170.47 = 2,257,170.47 : x
  2. Step 2: Convert to fraction form
    1,015,105.08/2,257,170.47 = 2,257,170.47/x
  3. Step 3: Cross multiply
    1,015,105.08x = 2,257,170.47 × 2,257,170.47
  4. Step 4: Simplify right side
    1,015,105.08x = 5,094,818,524,997.10
  5. Step 5: Solve for x
    x = 5,094,818,524,997.10/1,015,105.08
  6. Step 6: Final answer
    x = 5,019,006.05

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.