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Finding the Third Proportional to 394,164 and 893,548

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Solution

The third proportional to 394,164 and 893,548 is: 2,025,623.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,164 : 893,548 = 893,548 : x
  2. Step 2: Convert to fraction form
    394,164/893,548 = 893,548/x
  3. Step 3: Cross multiply
    394,164x = 893,548 × 893,548
  4. Step 4: Simplify right side
    394,164x = 798,428,028,304
  5. Step 5: Solve for x
    x = 798,428,028,304/394,164
  6. Step 6: Final answer
    x = 2,025,623.92

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.