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Finding the Third Proportional to 1,772,256 and 3,796,512

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Solution

The third proportional to 1,772,256 and 3,796,512 is: 8,132,856.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772,256 : 3,796,512 = 3,796,512 : x
  2. Step 2: Convert to fraction form
    1,772,256/3,796,512 = 3,796,512/x
  3. Step 3: Cross multiply
    1,772,256x = 3,796,512 × 3,796,512
  4. Step 4: Simplify right side
    1,772,256x = 14,413,503,366,144
  5. Step 5: Solve for x
    x = 14,413,503,366,144/1,772,256
  6. Step 6: Final answer
    x = 8,132,856.30

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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.