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Finding the Third Proportional to 1,361,124 and 2,089,269

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Solution

The third proportional to 1,361,124 and 2,089,269 is: 3,206,941.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361,124 : 2,089,269 = 2,089,269 : x
  2. Step 2: Convert to fraction form
    1,361,124/2,089,269 = 2,089,269/x
  3. Step 3: Cross multiply
    1,361,124x = 2,089,269 × 2,089,269
  4. Step 4: Simplify right side
    1,361,124x = 4,365,044,954,361
  5. Step 5: Solve for x
    x = 4,365,044,954,361/1,361,124
  6. Step 6: Final answer
    x = 3,206,941.44

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.