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Finding the Third Proportional to 550,299 and 1,192,197

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Solution

The third proportional to 550,299 and 1,192,197 is: 2,582,838.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,299 : 1,192,197 = 1,192,197 : x
  2. Step 2: Convert to fraction form
    550,299/1,192,197 = 1,192,197/x
  3. Step 3: Cross multiply
    550,299x = 1,192,197 × 1,192,197
  4. Step 4: Simplify right side
    550,299x = 1,421,333,686,809
  5. Step 5: Solve for x
    x = 1,421,333,686,809/550,299
  6. Step 6: Final answer
    x = 2,582,838.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.