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Finding the Third Proportional to 1,271,616 and 1,782,431

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Solution

The third proportional to 1,271,616 and 1,782,431 is: 2,498,443.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271,616 : 1,782,431 = 1,782,431 : x
  2. Step 2: Convert to fraction form
    1,271,616/1,782,431 = 1,782,431/x
  3. Step 3: Cross multiply
    1,271,616x = 1,782,431 × 1,782,431
  4. Step 4: Simplify right side
    1,271,616x = 3,177,060,269,761
  5. Step 5: Solve for x
    x = 3,177,060,269,761/1,271,616
  6. Step 6: Final answer
    x = 2,498,443.14

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.