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Finding the Third Proportional to 585,766 and 1,278,956

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Solution

The third proportional to 585,766 and 1,278,956 is: 2,792,460.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,766 : 1,278,956 = 1,278,956 : x
  2. Step 2: Convert to fraction form
    585,766/1,278,956 = 1,278,956/x
  3. Step 3: Cross multiply
    585,766x = 1,278,956 × 1,278,956
  4. Step 4: Simplify right side
    585,766x = 1,635,728,449,936
  5. Step 5: Solve for x
    x = 1,635,728,449,936/585,766
  6. Step 6: Final answer
    x = 2,792,460.56

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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.