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Finding the Third Proportional to 772,768 and 1,659,800

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Solution

The third proportional to 772,768 and 1,659,800 is: 3,565,023.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,768 : 1,659,800 = 1,659,800 : x
  2. Step 2: Convert to fraction form
    772,768/1,659,800 = 1,659,800/x
  3. Step 3: Cross multiply
    772,768x = 1,659,800 × 1,659,800
  4. Step 4: Simplify right side
    772,768x = 2,754,936,040,000
  5. Step 5: Solve for x
    x = 2,754,936,040,000/772,768
  6. Step 6: Final answer
    x = 3,565,023.45

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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.