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Finding the Third Proportional to 1,265,760 and 1,690,824

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Solution

The third proportional to 1,265,760 and 1,690,824 is: 2,258,631.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265,760 : 1,690,824 = 1,690,824 : x
  2. Step 2: Convert to fraction form
    1,265,760/1,690,824 = 1,690,824/x
  3. Step 3: Cross multiply
    1,265,760x = 1,690,824 × 1,690,824
  4. Step 4: Simplify right side
    1,265,760x = 2,858,885,798,976
  5. Step 5: Solve for x
    x = 2,858,885,798,976/1,265,760
  6. Step 6: Final answer
    x = 2,258,631.81

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.