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Finding the Third Proportional to 727,272 and 1,582,722

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Solution

The third proportional to 727,272 and 1,582,722 is: 3,444,390.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,272 : 1,582,722 = 1,582,722 : x
  2. Step 2: Convert to fraction form
    727,272/1,582,722 = 1,582,722/x
  3. Step 3: Cross multiply
    727,272x = 1,582,722 × 1,582,722
  4. Step 4: Simplify right side
    727,272x = 2,505,008,929,284
  5. Step 5: Solve for x
    x = 2,505,008,929,284/727,272
  6. Step 6: Final answer
    x = 3,444,390.72

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.