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Finding the Third Proportional to 499,090 and 1,082,256

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Solution

The third proportional to 499,090 and 1,082,256 is: 2,346,827.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,090 : 1,082,256 = 1,082,256 : x
  2. Step 2: Convert to fraction form
    499,090/1,082,256 = 1,082,256/x
  3. Step 3: Cross multiply
    499,090x = 1,082,256 × 1,082,256
  4. Step 4: Simplify right side
    499,090x = 1,171,278,049,536
  5. Step 5: Solve for x
    x = 1,171,278,049,536/499,090
  6. Step 6: Final answer
    x = 2,346,827.32

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.