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Finding the Third Proportional to 582,704 and 1,267,954

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Solution

The third proportional to 582,704 and 1,267,954 is: 2,759,046.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,704 : 1,267,954 = 1,267,954 : x
  2. Step 2: Convert to fraction form
    582,704/1,267,954 = 1,267,954/x
  3. Step 3: Cross multiply
    582,704x = 1,267,954 × 1,267,954
  4. Step 4: Simplify right side
    582,704x = 1,607,707,346,116
  5. Step 5: Solve for x
    x = 1,607,707,346,116/582,704
  6. Step 6: Final answer
    x = 2,759,046.35

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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.