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Finding the Third Proportional to 558,384 and 1,211,241

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Solution

The third proportional to 558,384 and 1,211,241 is: 2,627,411.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,384 : 1,211,241 = 1,211,241 : x
  2. Step 2: Convert to fraction form
    558,384/1,211,241 = 1,211,241/x
  3. Step 3: Cross multiply
    558,384x = 1,211,241 × 1,211,241
  4. Step 4: Simplify right side
    558,384x = 1,467,104,760,081
  5. Step 5: Solve for x
    x = 1,467,104,760,081/558,384
  6. Step 6: Final answer
    x = 2,627,411.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.