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Finding the Third Proportional to 577,767 and 1,270,824

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Solution

The third proportional to 577,767 and 1,270,824 is: 2,795,233.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,767 : 1,270,824 = 1,270,824 : x
  2. Step 2: Convert to fraction form
    577,767/1,270,824 = 1,270,824/x
  3. Step 3: Cross multiply
    577,767x = 1,270,824 × 1,270,824
  4. Step 4: Simplify right side
    577,767x = 1,614,993,638,976
  5. Step 5: Solve for x
    x = 1,614,993,638,976/577,767
  6. Step 6: Final answer
    x = 2,795,233.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.