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Finding the Third Proportional to 582,783 and 1,268,112

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Solution

The third proportional to 582,783 and 1,268,112 is: 2,759,359.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,783 : 1,268,112 = 1,268,112 : x
  2. Step 2: Convert to fraction form
    582,783/1,268,112 = 1,268,112/x
  3. Step 3: Cross multiply
    582,783x = 1,268,112 × 1,268,112
  4. Step 4: Simplify right side
    582,783x = 1,608,108,044,544
  5. Step 5: Solve for x
    x = 1,608,108,044,544/582,783
  6. Step 6: Final answer
    x = 2,759,359.91

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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.