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Finding the Third Proportional to 600,578 and 1,304,996

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Solution

The third proportional to 600,578 and 1,304,996 is: 2,835,625.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,578 : 1,304,996 = 1,304,996 : x
  2. Step 2: Convert to fraction form
    600,578/1,304,996 = 1,304,996/x
  3. Step 3: Cross multiply
    600,578x = 1,304,996 × 1,304,996
  4. Step 4: Simplify right side
    600,578x = 1,703,014,560,016
  5. Step 5: Solve for x
    x = 1,703,014,560,016/600,578
  6. Step 6: Final answer
    x = 2,835,625.95

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.