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Finding the Third Proportional to 1,269,196 and 2,769,912

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Solution

The third proportional to 1,269,196 and 2,769,912 is: 6,045,096.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269,196 : 2,769,912 = 2,769,912 : x
  2. Step 2: Convert to fraction form
    1,269,196/2,769,912 = 2,769,912/x
  3. Step 3: Cross multiply
    1,269,196x = 2,769,912 × 2,769,912
  4. Step 4: Simplify right side
    1,269,196x = 7,672,412,487,744
  5. Step 5: Solve for x
    x = 7,672,412,487,744/1,269,196
  6. Step 6: Final answer
    x = 6,045,096.65

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.