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Finding the Third Proportional to 1,082,398 and 2,338,236

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Solution

The third proportional to 1,082,398 and 2,338,236 is: 5,051,143.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082,398 : 2,338,236 = 2,338,236 : x
  2. Step 2: Convert to fraction form
    1,082,398/2,338,236 = 2,338,236/x
  3. Step 3: Cross multiply
    1,082,398x = 2,338,236 × 2,338,236
  4. Step 4: Simplify right side
    1,082,398x = 5,467,347,591,696
  5. Step 5: Solve for x
    x = 5,467,347,591,696/1,082,398
  6. Step 6: Final answer
    x = 5,051,143.47

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.