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Finding the Third Proportional to 555,864 and 1,212,096

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Solution

The third proportional to 555,864 and 1,212,096 is: 2,643,050.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,864 : 1,212,096 = 1,212,096 : x
  2. Step 2: Convert to fraction form
    555,864/1,212,096 = 1,212,096/x
  3. Step 3: Cross multiply
    555,864x = 1,212,096 × 1,212,096
  4. Step 4: Simplify right side
    555,864x = 1,469,176,713,216
  5. Step 5: Solve for x
    x = 1,469,176,713,216/555,864
  6. Step 6: Final answer
    x = 2,643,050.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.