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Finding the Third Proportional to 517,940 and 1,131,945

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Solution

The third proportional to 517,940 and 1,131,945 is: 2,473,837.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,940 : 1,131,945 = 1,131,945 : x
  2. Step 2: Convert to fraction form
    517,940/1,131,945 = 1,131,945/x
  3. Step 3: Cross multiply
    517,940x = 1,131,945 × 1,131,945
  4. Step 4: Simplify right side
    517,940x = 1,281,299,483,025
  5. Step 5: Solve for x
    x = 1,281,299,483,025/517,940
  6. Step 6: Final answer
    x = 2,473,837.67

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.