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Finding the Third Proportional to 507,832 and 1,093,158

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Solution

The third proportional to 507,832 and 1,093,158 is: 2,353,129.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,832 : 1,093,158 = 1,093,158 : x
  2. Step 2: Convert to fraction form
    507,832/1,093,158 = 1,093,158/x
  3. Step 3: Cross multiply
    507,832x = 1,093,158 × 1,093,158
  4. Step 4: Simplify right side
    507,832x = 1,194,994,412,964
  5. Step 5: Solve for x
    x = 1,194,994,412,964/507,832
  6. Step 6: Final answer
    x = 2,353,129.41

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