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Finding the Third Proportional to 1,292,584 and 2,647,856

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Solution

The third proportional to 1,292,584 and 2,647,856 is: 5,424,128.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292,584 : 2,647,856 = 2,647,856 : x
  2. Step 2: Convert to fraction form
    1,292,584/2,647,856 = 2,647,856/x
  3. Step 3: Cross multiply
    1,292,584x = 2,647,856 × 2,647,856
  4. Step 4: Simplify right side
    1,292,584x = 7,011,141,396,736
  5. Step 5: Solve for x
    x = 7,011,141,396,736/1,292,584
  6. Step 6: Final answer
    x = 5,424,128.26

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.