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Finding the Third Proportional to 1,309,941 and 2,083,007.25

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Solution

The third proportional to 1,309,941 and 2,083,007.25 is: 3,312,301.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309,941 : 2,083,007.25 = 2,083,007.25 : x
  2. Step 2: Convert to fraction form
    1,309,941/2,083,007.25 = 2,083,007.25/x
  3. Step 3: Cross multiply
    1,309,941x = 2,083,007.25 × 2,083,007.25
  4. Step 4: Simplify right side
    1,309,941x = 4,338,919,203,552.56
  5. Step 5: Solve for x
    x = 4,338,919,203,552.56/1,309,941
  6. Step 6: Final answer
    x = 3,312,301.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.