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Finding the Third Proportional to 598,816.13 and 1,276,023.38

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Solution

The third proportional to 598,816.13 and 1,276,023.38 is: 2,719,091.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,816.13 : 1,276,023.38 = 1,276,023.38 : x
  2. Step 2: Convert to fraction form
    598,816.13/1,276,023.38 = 1,276,023.38/x
  3. Step 3: Cross multiply
    598,816.13x = 1,276,023.38 × 1,276,023.38
  4. Step 4: Simplify right side
    598,816.13x = 1,628,235,653,546.39
  5. Step 5: Solve for x
    x = 1,628,235,653,546.39/598,816.13
  6. Step 6: Final answer
    x = 2,719,091.20

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.