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Finding the Third Proportional to 505,924 and 1,077,393

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Solution

The third proportional to 505,924 and 1,077,393 is: 2,294,367.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,924 : 1,077,393 = 1,077,393 : x
  2. Step 2: Convert to fraction form
    505,924/1,077,393 = 1,077,393/x
  3. Step 3: Cross multiply
    505,924x = 1,077,393 × 1,077,393
  4. Step 4: Simplify right side
    505,924x = 1,160,775,676,449
  5. Step 5: Solve for x
    x = 1,160,775,676,449/505,924
  6. Step 6: Final answer
    x = 2,294,367.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.