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Finding the Third Proportional to 940,680 and 1,419,768

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Solution

The third proportional to 940,680 and 1,419,768 is: 2,142,855.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    940,680 : 1,419,768 = 1,419,768 : x
  2. Step 2: Convert to fraction form
    940,680/1,419,768 = 1,419,768/x
  3. Step 3: Cross multiply
    940,680x = 1,419,768 × 1,419,768
  4. Step 4: Simplify right side
    940,680x = 2,015,741,173,824
  5. Step 5: Solve for x
    x = 2,015,741,173,824/940,680
  6. Step 6: Final answer
    x = 2,142,855.35

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.