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Finding the Third Proportional to 923,984 and 1,382,200

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Solution

The third proportional to 923,984 and 1,382,200 is: 2,067,651.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,984 : 1,382,200 = 1,382,200 : x
  2. Step 2: Convert to fraction form
    923,984/1,382,200 = 1,382,200/x
  3. Step 3: Cross multiply
    923,984x = 1,382,200 × 1,382,200
  4. Step 4: Simplify right side
    923,984x = 1,910,476,840,000
  5. Step 5: Solve for x
    x = 1,910,476,840,000/923,984
  6. Step 6: Final answer
    x = 2,067,651.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.