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Finding the Third Proportional to 1,186,344 and 1,838,493

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Solution

The third proportional to 1,186,344 and 1,838,493 is: 2,849,136.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186,344 : 1,838,493 = 1,838,493 : x
  2. Step 2: Convert to fraction form
    1,186,344/1,838,493 = 1,838,493/x
  3. Step 3: Cross multiply
    1,186,344x = 1,838,493 × 1,838,493
  4. Step 4: Simplify right side
    1,186,344x = 3,380,056,511,049
  5. Step 5: Solve for x
    x = 3,380,056,511,049/1,186,344
  6. Step 6: Final answer
    x = 2,849,136.94

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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.