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Finding the Third Proportional to 775,077 and 1,662,267

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Solution

The third proportional to 775,077 and 1,662,267 is: 3,564,976.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,077 : 1,662,267 = 1,662,267 : x
  2. Step 2: Convert to fraction form
    775,077/1,662,267 = 1,662,267/x
  3. Step 3: Cross multiply
    775,077x = 1,662,267 × 1,662,267
  4. Step 4: Simplify right side
    775,077x = 2,763,131,579,289
  5. Step 5: Solve for x
    x = 2,763,131,579,289/775,077
  6. Step 6: Final answer
    x = 3,564,976.87

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.