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Finding the Third Proportional to 814,351.50 and 1,268,064

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Solution

The third proportional to 814,351.50 and 1,268,064 is: 1,974,560.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,351.50 : 1,268,064 = 1,268,064 : x
  2. Step 2: Convert to fraction form
    814,351.50/1,268,064 = 1,268,064/x
  3. Step 3: Cross multiply
    814,351.50x = 1,268,064 × 1,268,064
  4. Step 4: Simplify right side
    814,351.50x = 1,607,986,308,096
  5. Step 5: Solve for x
    x = 1,607,986,308,096/814,351.50
  6. Step 6: Final answer
    x = 1,974,560.50

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.