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Finding the Third Proportional to 814,036 and 1,196,662

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Solution

The third proportional to 814,036 and 1,196,662 is: 1,759,135.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,036 : 1,196,662 = 1,196,662 : x
  2. Step 2: Convert to fraction form
    814,036/1,196,662 = 1,196,662/x
  3. Step 3: Cross multiply
    814,036x = 1,196,662 × 1,196,662
  4. Step 4: Simplify right side
    814,036x = 1,431,999,942,244
  5. Step 5: Solve for x
    x = 1,431,999,942,244/814,036
  6. Step 6: Final answer
    x = 1,759,135.89

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.