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Finding the Third Proportional to 591,165 and 1,271,025

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Solution

The third proportional to 591,165 and 1,271,025 is: 2,732,747.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,165 : 1,271,025 = 1,271,025 : x
  2. Step 2: Convert to fraction form
    591,165/1,271,025 = 1,271,025/x
  3. Step 3: Cross multiply
    591,165x = 1,271,025 × 1,271,025
  4. Step 4: Simplify right side
    591,165x = 1,615,504,550,625
  5. Step 5: Solve for x
    x = 1,615,504,550,625/591,165
  6. Step 6: Final answer
    x = 2,732,747.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.