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Finding the Third Proportional to 591,170 and 1,271,034

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Solution

The third proportional to 591,170 and 1,271,034 is: 2,732,762.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,170 : 1,271,034 = 1,271,034 : x
  2. Step 2: Convert to fraction form
    591,170/1,271,034 = 1,271,034/x
  3. Step 3: Cross multiply
    591,170x = 1,271,034 × 1,271,034
  4. Step 4: Simplify right side
    591,170x = 1,615,527,429,156
  5. Step 5: Solve for x
    x = 1,615,527,429,156/591,170
  6. Step 6: Final answer
    x = 2,732,762.88

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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.