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Finding the Third Proportional to 546,174 and 835,893

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Solution

The third proportional to 546,174 and 835,893 is: 1,279,293.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,174 : 835,893 = 835,893 : x
  2. Step 2: Convert to fraction form
    546,174/835,893 = 835,893/x
  3. Step 3: Cross multiply
    546,174x = 835,893 × 835,893
  4. Step 4: Simplify right side
    546,174x = 698,717,107,449
  5. Step 5: Solve for x
    x = 698,717,107,449/546,174
  6. Step 6: Final answer
    x = 1,279,293.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.