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Finding the Third Proportional to 1,292,588 and 2,647,864

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Solution

The third proportional to 1,292,588 and 2,647,864 is: 5,424,144.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292,588 : 2,647,864 = 2,647,864 : x
  2. Step 2: Convert to fraction form
    1,292,588/2,647,864 = 2,647,864/x
  3. Step 3: Cross multiply
    1,292,588x = 2,647,864 × 2,647,864
  4. Step 4: Simplify right side
    1,292,588x = 7,011,183,762,496
  5. Step 5: Solve for x
    x = 7,011,183,762,496/1,292,588
  6. Step 6: Final answer
    x = 5,424,144.25

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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.