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Finding the Third Proportional to 627,664 and 1,382,012

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Solution

The third proportional to 627,664 and 1,382,012 is: 3,042,961.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,664 : 1,382,012 = 1,382,012 : x
  2. Step 2: Convert to fraction form
    627,664/1,382,012 = 1,382,012/x
  3. Step 3: Cross multiply
    627,664x = 1,382,012 × 1,382,012
  4. Step 4: Simplify right side
    627,664x = 1,909,957,168,144
  5. Step 5: Solve for x
    x = 1,909,957,168,144/627,664
  6. Step 6: Final answer
    x = 3,042,961.15

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.