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Finding the Third Proportional to 503,594 and 1,082,036

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Solution

The third proportional to 503,594 and 1,082,036 is: 2,324,892.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,594 : 1,082,036 = 1,082,036 : x
  2. Step 2: Convert to fraction form
    503,594/1,082,036 = 1,082,036/x
  3. Step 3: Cross multiply
    503,594x = 1,082,036 × 1,082,036
  4. Step 4: Simplify right side
    503,594x = 1,170,801,905,296
  5. Step 5: Solve for x
    x = 1,170,801,905,296/503,594
  6. Step 6: Final answer
    x = 2,324,892.48

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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.