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Finding the Third Proportional to 553,943 and 1,201,198

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Solution

The third proportional to 553,943 and 1,201,198 is: 2,604,738.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,943 : 1,201,198 = 1,201,198 : x
  2. Step 2: Convert to fraction form
    553,943/1,201,198 = 1,201,198/x
  3. Step 3: Cross multiply
    553,943x = 1,201,198 × 1,201,198
  4. Step 4: Simplify right side
    553,943x = 1,442,876,635,204
  5. Step 5: Solve for x
    x = 1,442,876,635,204/553,943
  6. Step 6: Final answer
    x = 2,604,738.46

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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.