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Finding the Third Proportional to 1,188,102 and 1,838,441

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Solution

The third proportional to 1,188,102 and 1,838,441 is: 2,844,760.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188,102 : 1,838,441 = 1,838,441 : x
  2. Step 2: Convert to fraction form
    1,188,102/1,838,441 = 1,838,441/x
  3. Step 3: Cross multiply
    1,188,102x = 1,838,441 × 1,838,441
  4. Step 4: Simplify right side
    1,188,102x = 3,379,865,310,481
  5. Step 5: Solve for x
    x = 3,379,865,310,481/1,188,102
  6. Step 6: Final answer
    x = 2,844,760.22

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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.