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Finding the Third Proportional to 536,581.13 and 1,135,279.13

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Solution

The third proportional to 536,581.13 and 1,135,279.13 is: 2,401,982.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,581.13 : 1,135,279.13 = 1,135,279.13 : x
  2. Step 2: Convert to fraction form
    536,581.13/1,135,279.13 = 1,135,279.13/x
  3. Step 3: Cross multiply
    536,581.13x = 1,135,279.13 × 1,135,279.13
  4. Step 4: Simplify right side
    536,581.13x = 1,288,858,691,660.77
  5. Step 5: Solve for x
    x = 1,288,858,691,660.77/536,581.13
  6. Step 6: Final answer
    x = 2,401,982.91

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.