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Finding the Third Proportional to 601,424 and 1,327,264

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Solution

The third proportional to 601,424 and 1,327,264 is: 2,929,097.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,424 : 1,327,264 = 1,327,264 : x
  2. Step 2: Convert to fraction form
    601,424/1,327,264 = 1,327,264/x
  3. Step 3: Cross multiply
    601,424x = 1,327,264 × 1,327,264
  4. Step 4: Simplify right side
    601,424x = 1,761,629,725,696
  5. Step 5: Solve for x
    x = 1,761,629,725,696/601,424
  6. Step 6: Final answer
    x = 2,929,097.82

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.