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Finding the Third Proportional to 636,205 and 1,382,851

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Solution

The third proportional to 636,205 and 1,382,851 is: 3,005,755.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    636,205 : 1,382,851 = 1,382,851 : x
  2. Step 2: Convert to fraction form
    636,205/1,382,851 = 1,382,851/x
  3. Step 3: Cross multiply
    636,205x = 1,382,851 × 1,382,851
  4. Step 4: Simplify right side
    636,205x = 1,912,276,888,201
  5. Step 5: Solve for x
    x = 1,912,276,888,201/636,205
  6. Step 6: Final answer
    x = 3,005,755.83

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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.