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Finding the Third Proportional to 413,414 and 892,924

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Solution

The third proportional to 413,414 and 892,924 is: 1,928,607.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,414 : 892,924 = 892,924 : x
  2. Step 2: Convert to fraction form
    413,414/892,924 = 892,924/x
  3. Step 3: Cross multiply
    413,414x = 892,924 × 892,924
  4. Step 4: Simplify right side
    413,414x = 797,313,269,776
  5. Step 5: Solve for x
    x = 797,313,269,776/413,414
  6. Step 6: Final answer
    x = 1,928,607.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.