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Finding the Third Proportional to 517,098,672.56 and 823,203,960.19

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Solution

The third proportional to 517,098,672.56 and 823,203,960.19 is: 1,310,513,439.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,098,672.56 : 823,203,960.19 = 823,203,960.19 : x
  2. Step 2: Convert to fraction form
    517,098,672.56/823,203,960.19 = 823,203,960.19/x
  3. Step 3: Cross multiply
    517,098,672.56x = 823,203,960.19 × 823,203,960.19
  4. Step 4: Simplify right side
    517,098,672.56x = 677,664,760,068,383,104
  5. Step 5: Solve for x
    x = 677,664,760,068,383,104/517,098,672.56
  6. Step 6: Final answer
    x = 1,310,513,439.75

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.