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Finding the Third Proportional to 1,694,256 and 3,634,176

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Solution

The third proportional to 1,694,256 and 3,634,176 is: 7,795,300.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694,256 : 3,634,176 = 3,634,176 : x
  2. Step 2: Convert to fraction form
    1,694,256/3,634,176 = 3,634,176/x
  3. Step 3: Cross multiply
    1,694,256x = 3,634,176 × 3,634,176
  4. Step 4: Simplify right side
    1,694,256x = 13,207,235,198,976
  5. Step 5: Solve for x
    x = 13,207,235,198,976/1,694,256
  6. Step 6: Final answer
    x = 7,795,300.83

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.