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Finding the Third Proportional to 1,409,676 and 2,269,794

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Solution

The third proportional to 1,409,676 and 2,269,794 is: 3,654,715.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409,676 : 2,269,794 = 2,269,794 : x
  2. Step 2: Convert to fraction form
    1,409,676/2,269,794 = 2,269,794/x
  3. Step 3: Cross multiply
    1,409,676x = 2,269,794 × 2,269,794
  4. Step 4: Simplify right side
    1,409,676x = 5,151,964,802,436
  5. Step 5: Solve for x
    x = 5,151,964,802,436/1,409,676
  6. Step 6: Final answer
    x = 3,654,715.55

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.