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Finding the Third Proportional to 1,269,189 and 2,769,894

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Solution

The third proportional to 1,269,189 and 2,769,894 is: 6,045,051.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269,189 : 2,769,894 = 2,769,894 : x
  2. Step 2: Convert to fraction form
    1,269,189/2,769,894 = 2,769,894/x
  3. Step 3: Cross multiply
    1,269,189x = 2,769,894 × 2,769,894
  4. Step 4: Simplify right side
    1,269,189x = 7,672,312,771,236
  5. Step 5: Solve for x
    x = 7,672,312,771,236/1,269,189
  6. Step 6: Final answer
    x = 6,045,051.42

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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.