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Finding the Third Proportional to 605,859 and 1,274,394

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Solution

The third proportional to 605,859 and 1,274,394 is: 2,680,623.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,859 : 1,274,394 = 1,274,394 : x
  2. Step 2: Convert to fraction form
    605,859/1,274,394 = 1,274,394/x
  3. Step 3: Cross multiply
    605,859x = 1,274,394 × 1,274,394
  4. Step 4: Simplify right side
    605,859x = 1,624,080,067,236
  5. Step 5: Solve for x
    x = 1,624,080,067,236/605,859
  6. Step 6: Final answer
    x = 2,680,623.82

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.