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Finding the Third Proportional to 1,204,078 and 1,640,010

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Solution

The third proportional to 1,204,078 and 1,640,010 is: 2,233,769.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204,078 : 1,640,010 = 1,640,010 : x
  2. Step 2: Convert to fraction form
    1,204,078/1,640,010 = 1,640,010/x
  3. Step 3: Cross multiply
    1,204,078x = 1,640,010 × 1,640,010
  4. Step 4: Simplify right side
    1,204,078x = 2,689,632,800,100
  5. Step 5: Solve for x
    x = 2,689,632,800,100/1,204,078
  6. Step 6: Final answer
    x = 2,233,769.57

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.