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Finding the Third Proportional to 417,082 and 893,204

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Solution

The third proportional to 417,082 and 893,204 is: 1,912,845.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,082 : 893,204 = 893,204 : x
  2. Step 2: Convert to fraction form
    417,082/893,204 = 893,204/x
  3. Step 3: Cross multiply
    417,082x = 893,204 × 893,204
  4. Step 4: Simplify right side
    417,082x = 797,813,385,616
  5. Step 5: Solve for x
    x = 797,813,385,616/417,082
  6. Step 6: Final answer
    x = 1,912,845.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.