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Finding the Third Proportional to 775,824 and 1,644,936

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Solution

The third proportional to 775,824 and 1,644,936 is: 3,487,665.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,824 : 1,644,936 = 1,644,936 : x
  2. Step 2: Convert to fraction form
    775,824/1,644,936 = 1,644,936/x
  3. Step 3: Cross multiply
    775,824x = 1,644,936 × 1,644,936
  4. Step 4: Simplify right side
    775,824x = 2,705,814,444,096
  5. Step 5: Solve for x
    x = 2,705,814,444,096/775,824
  6. Step 6: Final answer
    x = 3,487,665.30

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