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Finding the Third Proportional to 564,680 and 1,175,824

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Solution

The third proportional to 564,680 and 1,175,824 is: 2,448,399.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,680 : 1,175,824 = 1,175,824 : x
  2. Step 2: Convert to fraction form
    564,680/1,175,824 = 1,175,824/x
  3. Step 3: Cross multiply
    564,680x = 1,175,824 × 1,175,824
  4. Step 4: Simplify right side
    564,680x = 1,382,562,078,976
  5. Step 5: Solve for x
    x = 1,382,562,078,976/564,680
  6. Step 6: Final answer
    x = 2,448,399.23

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