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Finding the Third Proportional to 542,488 and 1,188,318

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Solution

The third proportional to 542,488 and 1,188,318 is: 2,603,006.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,488 : 1,188,318 = 1,188,318 : x
  2. Step 2: Convert to fraction form
    542,488/1,188,318 = 1,188,318/x
  3. Step 3: Cross multiply
    542,488x = 1,188,318 × 1,188,318
  4. Step 4: Simplify right side
    542,488x = 1,412,099,669,124
  5. Step 5: Solve for x
    x = 1,412,099,669,124/542,488
  6. Step 6: Final answer
    x = 2,603,006.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.