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Finding the Third Proportional to 394,160 and 893,538

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Solution

The third proportional to 394,160 and 893,538 is: 2,025,599.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,160 : 893,538 = 893,538 : x
  2. Step 2: Convert to fraction form
    394,160/893,538 = 893,538/x
  3. Step 3: Cross multiply
    394,160x = 893,538 × 893,538
  4. Step 4: Simplify right side
    394,160x = 798,410,157,444
  5. Step 5: Solve for x
    x = 798,410,157,444/394,160
  6. Step 6: Final answer
    x = 2,025,599.14

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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.