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Finding the Third Proportional to 503,601 and 1,081,740

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Solution

The third proportional to 503,601 and 1,081,740 is: 2,323,588.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,601 : 1,081,740 = 1,081,740 : x
  2. Step 2: Convert to fraction form
    503,601/1,081,740 = 1,081,740/x
  3. Step 3: Cross multiply
    503,601x = 1,081,740 × 1,081,740
  4. Step 4: Simplify right side
    503,601x = 1,170,161,427,600
  5. Step 5: Solve for x
    x = 1,170,161,427,600/503,601
  6. Step 6: Final answer
    x = 2,323,588.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.