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Finding the Third Proportional to 627,927 and 1,002,480

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Solution

The third proportional to 627,927 and 1,002,480 is: 1,600,450.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,927 : 1,002,480 = 1,002,480 : x
  2. Step 2: Convert to fraction form
    627,927/1,002,480 = 1,002,480/x
  3. Step 3: Cross multiply
    627,927x = 1,002,480 × 1,002,480
  4. Step 4: Simplify right side
    627,927x = 1,004,966,150,400
  5. Step 5: Solve for x
    x = 1,004,966,150,400/627,927
  6. Step 6: Final answer
    x = 1,600,450.61

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.