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Finding the Third Proportional to 592,517 and 1,255,626

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Solution

The third proportional to 592,517 and 1,255,626 is: 2,660,846.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,517 : 1,255,626 = 1,255,626 : x
  2. Step 2: Convert to fraction form
    592,517/1,255,626 = 1,255,626/x
  3. Step 3: Cross multiply
    592,517x = 1,255,626 × 1,255,626
  4. Step 4: Simplify right side
    592,517x = 1,576,596,651,876
  5. Step 5: Solve for x
    x = 1,576,596,651,876/592,517
  6. Step 6: Final answer
    x = 2,660,846.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.