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Finding the Third Proportional to 1,210,997.25 and 2,854,659.38

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Solution

The third proportional to 1,210,997.25 and 2,854,659.38 is: 6,729,230.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210,997.25 : 2,854,659.38 = 2,854,659.38 : x
  2. Step 2: Convert to fraction form
    1,210,997.25/2,854,659.38 = 2,854,659.38/x
  3. Step 3: Cross multiply
    1,210,997.25x = 2,854,659.38 × 2,854,659.38
  4. Step 4: Simplify right side
    1,210,997.25x = 8,149,080,147,275.39
  5. Step 5: Solve for x
    x = 8,149,080,147,275.39/1,210,997.25
  6. Step 6: Final answer
    x = 6,729,230.93

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.