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Finding the Third Proportional to 518,892.75 and 1,139,945.06

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Solution

The third proportional to 518,892.75 and 1,139,945.06 is: 2,504,322.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,892.75 : 1,139,945.06 = 1,139,945.06 : x
  2. Step 2: Convert to fraction form
    518,892.75/1,139,945.06 = 1,139,945.06/x
  3. Step 3: Cross multiply
    518,892.75x = 1,139,945.06 × 1,139,945.06
  4. Step 4: Simplify right side
    518,892.75x = 1,299,474,745,518.13
  5. Step 5: Solve for x
    x = 1,299,474,745,518.13/518,892.75
  6. Step 6: Final answer
    x = 2,504,322.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.