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Finding the Third Proportional to 1,469,824 and 2,271,320

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Solution

The third proportional to 1,469,824 and 2,271,320 is: 3,509,872.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469,824 : 2,271,320 = 2,271,320 : x
  2. Step 2: Convert to fraction form
    1,469,824/2,271,320 = 2,271,320/x
  3. Step 3: Cross multiply
    1,469,824x = 2,271,320 × 2,271,320
  4. Step 4: Simplify right side
    1,469,824x = 5,158,894,542,400
  5. Step 5: Solve for x
    x = 5,158,894,542,400/1,469,824
  6. Step 6: Final answer
    x = 3,509,872.30

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.