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Finding the Third Proportional to 539,932 and 1,181,564

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Solution

The third proportional to 539,932 and 1,181,564 is: 2,585,683.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,932 : 1,181,564 = 1,181,564 : x
  2. Step 2: Convert to fraction form
    539,932/1,181,564 = 1,181,564/x
  3. Step 3: Cross multiply
    539,932x = 1,181,564 × 1,181,564
  4. Step 4: Simplify right side
    539,932x = 1,396,093,486,096
  5. Step 5: Solve for x
    x = 1,396,093,486,096/539,932
  6. Step 6: Final answer
    x = 2,585,683.91

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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.