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Finding the Third Proportional to 620,138 and 1,339,420

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Solution

The third proportional to 620,138 and 1,339,420 is: 2,892,978.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,138 : 1,339,420 = 1,339,420 : x
  2. Step 2: Convert to fraction form
    620,138/1,339,420 = 1,339,420/x
  3. Step 3: Cross multiply
    620,138x = 1,339,420 × 1,339,420
  4. Step 4: Simplify right side
    620,138x = 1,794,045,936,400
  5. Step 5: Solve for x
    x = 1,794,045,936,400/620,138
  6. Step 6: Final answer
    x = 2,892,978.56

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.