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Finding the Third Proportional to 600,576 and 1,304,992

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Solution

The third proportional to 600,576 and 1,304,992 is: 2,835,618.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,576 : 1,304,992 = 1,304,992 : x
  2. Step 2: Convert to fraction form
    600,576/1,304,992 = 1,304,992/x
  3. Step 3: Cross multiply
    600,576x = 1,304,992 × 1,304,992
  4. Step 4: Simplify right side
    600,576x = 1,703,004,120,064
  5. Step 5: Solve for x
    x = 1,703,004,120,064/600,576
  6. Step 6: Final answer
    x = 2,835,618.01

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Why These Related Problems?

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