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Finding the Third Proportional to 821,996 and 1,801,132

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Solution

The third proportional to 821,996 and 1,801,132 is: 3,946,584.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,996 : 1,801,132 = 1,801,132 : x
  2. Step 2: Convert to fraction form
    821,996/1,801,132 = 1,801,132/x
  3. Step 3: Cross multiply
    821,996x = 1,801,132 × 1,801,132
  4. Step 4: Simplify right side
    821,996x = 3,244,076,481,424
  5. Step 5: Solve for x
    x = 3,244,076,481,424/821,996
  6. Step 6: Final answer
    x = 3,946,584.27

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.