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Finding the Third Proportional to 774,206 and 1,667,059

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Solution

The third proportional to 774,206 and 1,667,059 is: 3,589,594.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,206 : 1,667,059 = 1,667,059 : x
  2. Step 2: Convert to fraction form
    774,206/1,667,059 = 1,667,059/x
  3. Step 3: Cross multiply
    774,206x = 1,667,059 × 1,667,059
  4. Step 4: Simplify right side
    774,206x = 2,779,085,709,481
  5. Step 5: Solve for x
    x = 2,779,085,709,481/774,206
  6. Step 6: Final answer
    x = 3,589,594.64

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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.