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Finding the Third Proportional to 582,424 and 1,272,608

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Solution

The third proportional to 582,424 and 1,272,608 is: 2,780,673.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,424 : 1,272,608 = 1,272,608 : x
  2. Step 2: Convert to fraction form
    582,424/1,272,608 = 1,272,608/x
  3. Step 3: Cross multiply
    582,424x = 1,272,608 × 1,272,608
  4. Step 4: Simplify right side
    582,424x = 1,619,531,121,664
  5. Step 5: Solve for x
    x = 1,619,531,121,664/582,424
  6. Step 6: Final answer
    x = 2,780,673.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.