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Finding the Third Proportional to 1,022,390.44 and 2,150,548.31

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Solution

The third proportional to 1,022,390.44 and 2,150,548.31 is: 4,523,573.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022,390.44 : 2,150,548.31 = 2,150,548.31 : x
  2. Step 2: Convert to fraction form
    1,022,390.44/2,150,548.31 = 2,150,548.31/x
  3. Step 3: Cross multiply
    1,022,390.44x = 2,150,548.31 × 2,150,548.31
  4. Step 4: Simplify right side
    1,022,390.44x = 4,624,858,044,396.60
  5. Step 5: Solve for x
    x = 4,624,858,044,396.60/1,022,390.44
  6. Step 6: Final answer
    x = 4,523,573.26

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.