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Finding the Third Proportional to 682,432 and 1,033,048

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Solution

The third proportional to 682,432 and 1,033,048 is: 1,563,801.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,432 : 1,033,048 = 1,033,048 : x
  2. Step 2: Convert to fraction form
    682,432/1,033,048 = 1,033,048/x
  3. Step 3: Cross multiply
    682,432x = 1,033,048 × 1,033,048
  4. Step 4: Simplify right side
    682,432x = 1,067,188,170,304
  5. Step 5: Solve for x
    x = 1,067,188,170,304/682,432
  6. Step 6: Final answer
    x = 1,563,801.48

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.