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Finding the Third Proportional to 591,259 and 1,296,970

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Solution

The third proportional to 591,259 and 1,296,970 is: 2,844,998.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,259 : 1,296,970 = 1,296,970 : x
  2. Step 2: Convert to fraction form
    591,259/1,296,970 = 1,296,970/x
  3. Step 3: Cross multiply
    591,259x = 1,296,970 × 1,296,970
  4. Step 4: Simplify right side
    591,259x = 1,682,131,180,900
  5. Step 5: Solve for x
    x = 1,682,131,180,900/591,259
  6. Step 6: Final answer
    x = 2,844,998.86

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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.