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Finding the Third Proportional to 775,266 and 1,644,450

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Solution

The third proportional to 775,266 and 1,644,450 is: 3,488,113.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,266 : 1,644,450 = 1,644,450 : x
  2. Step 2: Convert to fraction form
    775,266/1,644,450 = 1,644,450/x
  3. Step 3: Cross multiply
    775,266x = 1,644,450 × 1,644,450
  4. Step 4: Simplify right side
    775,266x = 2,704,215,802,500
  5. Step 5: Solve for x
    x = 2,704,215,802,500/775,266
  6. Step 6: Final answer
    x = 3,488,113.50

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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.