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Finding the Third Proportional to 577,220 and 1,279,024

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Solution

The third proportional to 577,220 and 1,279,024 is: 2,834,105.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,220 : 1,279,024 = 1,279,024 : x
  2. Step 2: Convert to fraction form
    577,220/1,279,024 = 1,279,024/x
  3. Step 3: Cross multiply
    577,220x = 1,279,024 × 1,279,024
  4. Step 4: Simplify right side
    577,220x = 1,635,902,392,576
  5. Step 5: Solve for x
    x = 1,635,902,392,576/577,220
  6. Step 6: Final answer
    x = 2,834,105.53

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.