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Finding the Third Proportional to 1,296,866 and 1,940,115

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Solution

The third proportional to 1,296,866 and 1,940,115 is: 2,902,417.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296,866 : 1,940,115 = 1,940,115 : x
  2. Step 2: Convert to fraction form
    1,296,866/1,940,115 = 1,940,115/x
  3. Step 3: Cross multiply
    1,296,866x = 1,940,115 × 1,940,115
  4. Step 4: Simplify right side
    1,296,866x = 3,764,046,213,225
  5. Step 5: Solve for x
    x = 3,764,046,213,225/1,296,866
  6. Step 6: Final answer
    x = 2,902,417.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.