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Finding the Third Proportional to 768,271.32 and 1,659,638.27

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Solution

The third proportional to 768,271.32 and 1,659,638.27 is: 3,585,190.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,271.32 : 1,659,638.27 = 1,659,638.27 : x
  2. Step 2: Convert to fraction form
    768,271.32/1,659,638.27 = 1,659,638.27/x
  3. Step 3: Cross multiply
    768,271.32x = 1,659,638.27 × 1,659,638.27
  4. Step 4: Simplify right side
    768,271.32x = 2,754,399,179,209.64
  5. Step 5: Solve for x
    x = 2,754,399,179,209.64/768,271.32
  6. Step 6: Final answer
    x = 3,585,190.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.