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Finding the Third Proportional to 638,288 and 1,382,956

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Solution

The third proportional to 638,288 and 1,382,956 is: 2,996,401.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,288 : 1,382,956 = 1,382,956 : x
  2. Step 2: Convert to fraction form
    638,288/1,382,956 = 1,382,956/x
  3. Step 3: Cross multiply
    638,288x = 1,382,956 × 1,382,956
  4. Step 4: Simplify right side
    638,288x = 1,912,567,297,936
  5. Step 5: Solve for x
    x = 1,912,567,297,936/638,288
  6. Step 6: Final answer
    x = 2,996,401.78

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.