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Finding the Third Proportional to 605,872 and 1,274,420

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Solution

The third proportional to 605,872 and 1,274,420 is: 2,680,675.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,872 : 1,274,420 = 1,274,420 : x
  2. Step 2: Convert to fraction form
    605,872/1,274,420 = 1,274,420/x
  3. Step 3: Cross multiply
    605,872x = 1,274,420 × 1,274,420
  4. Step 4: Simplify right side
    605,872x = 1,624,146,336,400
  5. Step 5: Solve for x
    x = 1,624,146,336,400/605,872
  6. Step 6: Final answer
    x = 2,680,675.68

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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.