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Finding the Third Proportional to 1,771,120 and 3,800,256

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Solution

The third proportional to 1,771,120 and 3,800,256 is: 8,154,131.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771,120 : 3,800,256 = 3,800,256 : x
  2. Step 2: Convert to fraction form
    1,771,120/3,800,256 = 3,800,256/x
  3. Step 3: Cross multiply
    1,771,120x = 3,800,256 × 3,800,256
  4. Step 4: Simplify right side
    1,771,120x = 14,441,945,665,536
  5. Step 5: Solve for x
    x = 14,441,945,665,536/1,771,120
  6. Step 6: Final answer
    x = 8,154,131.66

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.