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Finding the Third Proportional to 1,743,187 and 3,766,474

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Solution

The third proportional to 1,743,187 and 3,766,474 is: 8,138,155.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743,187 : 3,766,474 = 3,766,474 : x
  2. Step 2: Convert to fraction form
    1,743,187/3,766,474 = 3,766,474/x
  3. Step 3: Cross multiply
    1,743,187x = 3,766,474 × 3,766,474
  4. Step 4: Simplify right side
    1,743,187x = 14,186,326,392,676
  5. Step 5: Solve for x
    x = 14,186,326,392,676/1,743,187
  6. Step 6: Final answer
    x = 8,138,155.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.