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Finding the Third Proportional to 588,320 and 1,245,976

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Solution

The third proportional to 588,320 and 1,245,976 is: 2,638,795.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,320 : 1,245,976 = 1,245,976 : x
  2. Step 2: Convert to fraction form
    588,320/1,245,976 = 1,245,976/x
  3. Step 3: Cross multiply
    588,320x = 1,245,976 × 1,245,976
  4. Step 4: Simplify right side
    588,320x = 1,552,456,192,576
  5. Step 5: Solve for x
    x = 1,552,456,192,576/588,320
  6. Step 6: Final answer
    x = 2,638,795.54

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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.