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Finding the Third Proportional to 543,546 and 814,023

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Solution

The third proportional to 543,546 and 814,023 is: 1,219,093.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,546 : 814,023 = 814,023 : x
  2. Step 2: Convert to fraction form
    543,546/814,023 = 814,023/x
  3. Step 3: Cross multiply
    543,546x = 814,023 × 814,023
  4. Step 4: Simplify right side
    543,546x = 662,633,444,529
  5. Step 5: Solve for x
    x = 662,633,444,529/543,546
  6. Step 6: Final answer
    x = 1,219,093.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.