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Finding the Third Proportional to 407,893 and 874,836

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Solution

The third proportional to 407,893 and 874,836 is: 1,876,320.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,893 : 874,836 = 874,836 : x
  2. Step 2: Convert to fraction form
    407,893/874,836 = 874,836/x
  3. Step 3: Cross multiply
    407,893x = 874,836 × 874,836
  4. Step 4: Simplify right side
    407,893x = 765,338,026,896
  5. Step 5: Solve for x
    x = 765,338,026,896/407,893
  6. Step 6: Final answer
    x = 1,876,320.57

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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.