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Finding the Third Proportional to 579,564 and 1,244,824

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Solution

The third proportional to 579,564 and 1,244,824 is: 2,673,711.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,564 : 1,244,824 = 1,244,824 : x
  2. Step 2: Convert to fraction form
    579,564/1,244,824 = 1,244,824/x
  3. Step 3: Cross multiply
    579,564x = 1,244,824 × 1,244,824
  4. Step 4: Simplify right side
    579,564x = 1,549,586,790,976
  5. Step 5: Solve for x
    x = 1,549,586,790,976/579,564
  6. Step 6: Final answer
    x = 2,673,711.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.