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Finding the Third Proportional to 394,184 and 893,592

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Solution

The third proportional to 394,184 and 893,592 is: 2,025,720.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,184 : 893,592 = 893,592 : x
  2. Step 2: Convert to fraction form
    394,184/893,592 = 893,592/x
  3. Step 3: Cross multiply
    394,184x = 893,592 × 893,592
  4. Step 4: Simplify right side
    394,184x = 798,506,662,464
  5. Step 5: Solve for x
    x = 798,506,662,464/394,184
  6. Step 6: Final answer
    x = 2,025,720.63

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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.