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Finding the Third Proportional to 557,938 and 1,220,204

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Solution

The third proportional to 557,938 and 1,220,204 is: 2,668,572.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,938 : 1,220,204 = 1,220,204 : x
  2. Step 2: Convert to fraction form
    557,938/1,220,204 = 1,220,204/x
  3. Step 3: Cross multiply
    557,938x = 1,220,204 × 1,220,204
  4. Step 4: Simplify right side
    557,938x = 1,488,897,801,616
  5. Step 5: Solve for x
    x = 1,488,897,801,616/557,938
  6. Step 6: Final answer
    x = 2,668,572.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.