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Finding the Third Proportional to 501,093 and 1,169,427

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Solution

The third proportional to 501,093 and 1,169,427 is: 2,729,153.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,093 : 1,169,427 = 1,169,427 : x
  2. Step 2: Convert to fraction form
    501,093/1,169,427 = 1,169,427/x
  3. Step 3: Cross multiply
    501,093x = 1,169,427 × 1,169,427
  4. Step 4: Simplify right side
    501,093x = 1,367,559,508,329
  5. Step 5: Solve for x
    x = 1,367,559,508,329/501,093
  6. Step 6: Final answer
    x = 2,729,153.09

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.