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Finding the Third Proportional to 1,204,074 and 1,640,004

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Solution

The third proportional to 1,204,074 and 1,640,004 is: 2,233,760.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204,074 : 1,640,004 = 1,640,004 : x
  2. Step 2: Convert to fraction form
    1,204,074/1,640,004 = 1,640,004/x
  3. Step 3: Cross multiply
    1,204,074x = 1,640,004 × 1,640,004
  4. Step 4: Simplify right side
    1,204,074x = 2,689,613,120,016
  5. Step 5: Solve for x
    x = 2,689,613,120,016/1,204,074
  6. Step 6: Final answer
    x = 2,233,760.65

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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.