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Finding the Third Proportional to 1,760,446 and 3,753,420

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Solution

The third proportional to 1,760,446 and 3,753,420 is: 8,002,609.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760,446 : 3,753,420 = 3,753,420 : x
  2. Step 2: Convert to fraction form
    1,760,446/3,753,420 = 3,753,420/x
  3. Step 3: Cross multiply
    1,760,446x = 3,753,420 × 3,753,420
  4. Step 4: Simplify right side
    1,760,446x = 14,088,161,696,400
  5. Step 5: Solve for x
    x = 14,088,161,696,400/1,760,446
  6. Step 6: Final answer
    x = 8,002,609.39

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.