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Finding the Third Proportional to 772,757.06 and 1,659,778.13

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Solution

The third proportional to 772,757.06 and 1,659,778.13 is: 3,564,979.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,757.06 : 1,659,778.13 = 1,659,778.13 : x
  2. Step 2: Convert to fraction form
    772,757.06/1,659,778.13 = 1,659,778.13/x
  3. Step 3: Cross multiply
    772,757.06x = 1,659,778.13 × 1,659,778.13
  4. Step 4: Simplify right side
    772,757.06x = 2,754,863,424,228.52
  5. Step 5: Solve for x
    x = 2,754,863,424,228.52/772,757.06
  6. Step 6: Final answer
    x = 3,564,979.94

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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.