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Finding the Third Proportional to 613,189.13 and 941,234.63

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Solution

The third proportional to 613,189.13 and 941,234.63 is: 1,444,778.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,189.13 : 941,234.63 = 941,234.63 : x
  2. Step 2: Convert to fraction form
    613,189.13/941,234.63 = 941,234.63/x
  3. Step 3: Cross multiply
    613,189.13x = 941,234.63 × 941,234.63
  4. Step 4: Simplify right side
    613,189.13x = 885,922,619,298.89
  5. Step 5: Solve for x
    x = 885,922,619,298.89/613,189.13
  6. Step 6: Final answer
    x = 1,444,778.75

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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.