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Finding the Third Proportional to 603,082 and 1,268,156

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Solution

The third proportional to 603,082 and 1,268,156 is: 2,666,668.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,082 : 1,268,156 = 1,268,156 : x
  2. Step 2: Convert to fraction form
    603,082/1,268,156 = 1,268,156/x
  3. Step 3: Cross multiply
    603,082x = 1,268,156 × 1,268,156
  4. Step 4: Simplify right side
    603,082x = 1,608,219,640,336
  5. Step 5: Solve for x
    x = 1,608,219,640,336/603,082
  6. Step 6: Final answer
    x = 2,666,668.28

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.