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Finding the Third Proportional to 577,755 and 1,288,279

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Solution

The third proportional to 577,755 and 1,288,279 is: 2,872,606.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,755 : 1,288,279 = 1,288,279 : x
  2. Step 2: Convert to fraction form
    577,755/1,288,279 = 1,288,279/x
  3. Step 3: Cross multiply
    577,755x = 1,288,279 × 1,288,279
  4. Step 4: Simplify right side
    577,755x = 1,659,662,781,841
  5. Step 5: Solve for x
    x = 1,659,662,781,841/577,755
  6. Step 6: Final answer
    x = 2,872,606.52

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.