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Finding the Third Proportional to 539,253 and 1,184,517

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Solution

The third proportional to 539,253 and 1,184,517 is: 2,601,896.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,253 : 1,184,517 = 1,184,517 : x
  2. Step 2: Convert to fraction form
    539,253/1,184,517 = 1,184,517/x
  3. Step 3: Cross multiply
    539,253x = 1,184,517 × 1,184,517
  4. Step 4: Simplify right side
    539,253x = 1,403,080,523,289
  5. Step 5: Solve for x
    x = 1,403,080,523,289/539,253
  6. Step 6: Final answer
    x = 2,601,896.56

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.