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Finding the Third Proportional to 539,916 and 1,181,523

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Solution

The third proportional to 539,916 and 1,181,523 is: 2,585,581.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,916 : 1,181,523 = 1,181,523 : x
  2. Step 2: Convert to fraction form
    539,916/1,181,523 = 1,181,523/x
  3. Step 3: Cross multiply
    539,916x = 1,181,523 × 1,181,523
  4. Step 4: Simplify right side
    539,916x = 1,395,996,599,529
  5. Step 5: Solve for x
    x = 1,395,996,599,529/539,916
  6. Step 6: Final answer
    x = 2,585,581.09

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.