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Finding the Third Proportional to 619,393.50 and 1,313,146.69

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Solution

The third proportional to 619,393.50 and 1,313,146.69 is: 2,783,939.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,393.50 : 1,313,146.69 = 1,313,146.69 : x
  2. Step 2: Convert to fraction form
    619,393.50/1,313,146.69 = 1,313,146.69/x
  3. Step 3: Cross multiply
    619,393.50x = 1,313,146.69 × 1,313,146.69
  4. Step 4: Simplify right side
    619,393.50x = 1,724,354,222,892.22
  5. Step 5: Solve for x
    x = 1,724,354,222,892.22/619,393.50
  6. Step 6: Final answer
    x = 2,783,939.81

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.