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Finding the Third Proportional to 599,566 and 1,296,980

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Solution

The third proportional to 599,566 and 1,296,980 is: 2,805,624.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,566 : 1,296,980 = 1,296,980 : x
  2. Step 2: Convert to fraction form
    599,566/1,296,980 = 1,296,980/x
  3. Step 3: Cross multiply
    599,566x = 1,296,980 × 1,296,980
  4. Step 4: Simplify right side
    599,566x = 1,682,157,120,400
  5. Step 5: Solve for x
    x = 1,682,157,120,400/599,566
  6. Step 6: Final answer
    x = 2,805,624.60

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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.