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Finding the Third Proportional to 564,660 and 1,175,976

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Solution

The third proportional to 564,660 and 1,175,976 is: 2,449,119.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,660 : 1,175,976 = 1,175,976 : x
  2. Step 2: Convert to fraction form
    564,660/1,175,976 = 1,175,976/x
  3. Step 3: Cross multiply
    564,660x = 1,175,976 × 1,175,976
  4. Step 4: Simplify right side
    564,660x = 1,382,919,552,576
  5. Step 5: Solve for x
    x = 1,382,919,552,576/564,660
  6. Step 6: Final answer
    x = 2,449,119.03

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.