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Finding the Third Proportional to 1,764,767 and 3,741,435

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Solution

The third proportional to 1,764,767 and 3,741,435 is: 7,932,115.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764,767 : 3,741,435 = 3,741,435 : x
  2. Step 2: Convert to fraction form
    1,764,767/3,741,435 = 3,741,435/x
  3. Step 3: Cross multiply
    1,764,767x = 3,741,435 × 3,741,435
  4. Step 4: Simplify right side
    1,764,767x = 13,998,335,859,225
  5. Step 5: Solve for x
    x = 13,998,335,859,225/1,764,767
  6. Step 6: Final answer
    x = 7,932,115.60

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.