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Finding the Third Proportional to 411,340 and 917,204

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Solution

The third proportional to 411,340 and 917,204 is: 2,045,177.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,340 : 917,204 = 917,204 : x
  2. Step 2: Convert to fraction form
    411,340/917,204 = 917,204/x
  3. Step 3: Cross multiply
    411,340x = 917,204 × 917,204
  4. Step 4: Simplify right side
    411,340x = 841,263,177,616
  5. Step 5: Solve for x
    x = 841,263,177,616/411,340
  6. Step 6: Final answer
    x = 2,045,177.17

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.