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Finding the Third Proportional to 407,892 and 874,834

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Solution

The third proportional to 407,892 and 874,834 is: 1,876,316.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,892 : 874,834 = 874,834 : x
  2. Step 2: Convert to fraction form
    407,892/874,834 = 874,834/x
  3. Step 3: Cross multiply
    407,892x = 874,834 × 874,834
  4. Step 4: Simplify right side
    407,892x = 765,334,527,556
  5. Step 5: Solve for x
    x = 765,334,527,556/407,892
  6. Step 6: Final answer
    x = 1,876,316.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.