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Finding the Third Proportional to 591,831 and 1,294,105

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Solution

The third proportional to 591,831 and 1,294,105 is: 2,829,706.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,831 : 1,294,105 = 1,294,105 : x
  2. Step 2: Convert to fraction form
    591,831/1,294,105 = 1,294,105/x
  3. Step 3: Cross multiply
    591,831x = 1,294,105 × 1,294,105
  4. Step 4: Simplify right side
    591,831x = 1,674,707,751,025
  5. Step 5: Solve for x
    x = 1,674,707,751,025/591,831
  6. Step 6: Final answer
    x = 2,829,706.03

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.