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Finding the Third Proportional to 775,763 and 1,644,826

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Solution

The third proportional to 775,763 and 1,644,826 is: 3,487,473.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,763 : 1,644,826 = 1,644,826 : x
  2. Step 2: Convert to fraction form
    775,763/1,644,826 = 1,644,826/x
  3. Step 3: Cross multiply
    775,763x = 1,644,826 × 1,644,826
  4. Step 4: Simplify right side
    775,763x = 2,705,452,570,276
  5. Step 5: Solve for x
    x = 2,705,452,570,276/775,763
  6. Step 6: Final answer
    x = 3,487,473.07

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.