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Finding the Third Proportional to 1,272,525.75 and 2,768,944.50

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Solution

The third proportional to 1,272,525.75 and 2,768,944.50 is: 6,025,067.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272,525.75 : 2,768,944.50 = 2,768,944.50 : x
  2. Step 2: Convert to fraction form
    1,272,525.75/2,768,944.50 = 2,768,944.50/x
  3. Step 3: Cross multiply
    1,272,525.75x = 2,768,944.50 × 2,768,944.50
  4. Step 4: Simplify right side
    1,272,525.75x = 7,667,053,644,080.25
  5. Step 5: Solve for x
    x = 7,667,053,644,080.25/1,272,525.75
  6. Step 6: Final answer
    x = 6,025,067.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.