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Finding the Third Proportional to 591,898 and 1,283,390

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Solution

The third proportional to 591,898 and 1,283,390 is: 2,782,725.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,898 : 1,283,390 = 1,283,390 : x
  2. Step 2: Convert to fraction form
    591,898/1,283,390 = 1,283,390/x
  3. Step 3: Cross multiply
    591,898x = 1,283,390 × 1,283,390
  4. Step 4: Simplify right side
    591,898x = 1,647,089,892,100
  5. Step 5: Solve for x
    x = 1,647,089,892,100/591,898
  6. Step 6: Final answer
    x = 2,782,725.90

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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.