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Finding the Third Proportional to 414,238 and 893,662

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Solution

The third proportional to 414,238 and 893,662 is: 1,927,953.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,238 : 893,662 = 893,662 : x
  2. Step 2: Convert to fraction form
    414,238/893,662 = 893,662/x
  3. Step 3: Cross multiply
    414,238x = 893,662 × 893,662
  4. Step 4: Simplify right side
    414,238x = 798,631,770,244
  5. Step 5: Solve for x
    x = 798,631,770,244/414,238
  6. Step 6: Final answer
    x = 1,927,953.91

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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.