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Finding the Third Proportional to 577,216 and 1,279,016

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Solution

The third proportional to 577,216 and 1,279,016 is: 2,834,089.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,216 : 1,279,016 = 1,279,016 : x
  2. Step 2: Convert to fraction form
    577,216/1,279,016 = 1,279,016/x
  3. Step 3: Cross multiply
    577,216x = 1,279,016 × 1,279,016
  4. Step 4: Simplify right side
    577,216x = 1,635,881,928,256
  5. Step 5: Solve for x
    x = 1,635,881,928,256/577,216
  6. Step 6: Final answer
    x = 2,834,089.71

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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.