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Finding the Third Proportional to 775,180 and 1,644,320

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Solution

The third proportional to 775,180 and 1,644,320 is: 3,487,948.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,180 : 1,644,320 = 1,644,320 : x
  2. Step 2: Convert to fraction form
    775,180/1,644,320 = 1,644,320/x
  3. Step 3: Cross multiply
    775,180x = 1,644,320 × 1,644,320
  4. Step 4: Simplify right side
    775,180x = 2,703,788,262,400
  5. Step 5: Solve for x
    x = 2,703,788,262,400/775,180
  6. Step 6: Final answer
    x = 3,487,948.94

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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.