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Finding the Third Proportional to 1,727,799 and 3,770,511

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Solution

The third proportional to 1,727,799 and 3,770,511 is: 8,228,244.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727,799 : 3,770,511 = 3,770,511 : x
  2. Step 2: Convert to fraction form
    1,727,799/3,770,511 = 3,770,511/x
  3. Step 3: Cross multiply
    1,727,799x = 3,770,511 × 3,770,511
  4. Step 4: Simplify right side
    1,727,799x = 14,216,753,201,121
  5. Step 5: Solve for x
    x = 14,216,753,201,121/1,727,799
  6. Step 6: Final answer
    x = 8,228,244.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.