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Finding the Third Proportional to 1,481,984 and 2,296,192

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Solution

The third proportional to 1,481,984 and 2,296,192 is: 3,557,729.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,481,984 : 2,296,192 = 2,296,192 : x
  2. Step 2: Convert to fraction form
    1,481,984/2,296,192 = 2,296,192/x
  3. Step 3: Cross multiply
    1,481,984x = 2,296,192 × 2,296,192
  4. Step 4: Simplify right side
    1,481,984x = 5,272,497,700,864
  5. Step 5: Solve for x
    x = 5,272,497,700,864/1,481,984
  6. Step 6: Final answer
    x = 3,557,729.17

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.