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Finding the Third Proportional to 574,924 and 1,222,424

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Solution

The third proportional to 574,924 and 1,222,424 is: 2,599,161.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,924 : 1,222,424 = 1,222,424 : x
  2. Step 2: Convert to fraction form
    574,924/1,222,424 = 1,222,424/x
  3. Step 3: Cross multiply
    574,924x = 1,222,424 × 1,222,424
  4. Step 4: Simplify right side
    574,924x = 1,494,320,435,776
  5. Step 5: Solve for x
    x = 1,494,320,435,776/574,924
  6. Step 6: Final answer
    x = 2,599,161.69

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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.