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Finding the Third Proportional to 590,188.15 and 1,222,350.75

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Solution

The third proportional to 590,188.15 and 1,222,350.75 is: 2,531,635.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,188.15 : 1,222,350.75 = 1,222,350.75 : x
  2. Step 2: Convert to fraction form
    590,188.15/1,222,350.75 = 1,222,350.75/x
  3. Step 3: Cross multiply
    590,188.15x = 1,222,350.75 × 1,222,350.75
  4. Step 4: Simplify right side
    590,188.15x = 1,494,141,356,025.56
  5. Step 5: Solve for x
    x = 1,494,141,356,025.56/590,188.15
  6. Step 6: Final answer
    x = 2,531,635.65

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.