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Finding the Third Proportional to 622,826 and 1,361,970

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Solution

The third proportional to 622,826 and 1,361,970 is: 2,978,299.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,826 : 1,361,970 = 1,361,970 : x
  2. Step 2: Convert to fraction form
    622,826/1,361,970 = 1,361,970/x
  3. Step 3: Cross multiply
    622,826x = 1,361,970 × 1,361,970
  4. Step 4: Simplify right side
    622,826x = 1,854,962,280,900
  5. Step 5: Solve for x
    x = 1,854,962,280,900/622,826
  6. Step 6: Final answer
    x = 2,978,299.37

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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.