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Finding the Third Proportional to 577,942 and 1,254,367

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Solution

The third proportional to 577,942 and 1,254,367 is: 2,722,481.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,942 : 1,254,367 = 1,254,367 : x
  2. Step 2: Convert to fraction form
    577,942/1,254,367 = 1,254,367/x
  3. Step 3: Cross multiply
    577,942x = 1,254,367 × 1,254,367
  4. Step 4: Simplify right side
    577,942x = 1,573,436,570,689
  5. Step 5: Solve for x
    x = 1,573,436,570,689/577,942
  6. Step 6: Final answer
    x = 2,722,481.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.