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Finding the Third Proportional to 544,208 and 1,270,819

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Solution

The third proportional to 544,208 and 1,270,819 is: 2,967,580.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,208 : 1,270,819 = 1,270,819 : x
  2. Step 2: Convert to fraction form
    544,208/1,270,819 = 1,270,819/x
  3. Step 3: Cross multiply
    544,208x = 1,270,819 × 1,270,819
  4. Step 4: Simplify right side
    544,208x = 1,614,980,930,761
  5. Step 5: Solve for x
    x = 1,614,980,930,761/544,208
  6. Step 6: Final answer
    x = 2,967,580.28

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.