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Finding the Third Proportional to 507,398 and 1,179,906

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Solution

The third proportional to 507,398 and 1,179,906 is: 2,743,759.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,398 : 1,179,906 = 1,179,906 : x
  2. Step 2: Convert to fraction form
    507,398/1,179,906 = 1,179,906/x
  3. Step 3: Cross multiply
    507,398x = 1,179,906 × 1,179,906
  4. Step 4: Simplify right side
    507,398x = 1,392,178,168,836
  5. Step 5: Solve for x
    x = 1,392,178,168,836/507,398
  6. Step 6: Final answer
    x = 2,743,759.67

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