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Finding the Third Proportional to 523,991 and 1,067,252

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Solution

The third proportional to 523,991 and 1,067,252 is: 2,173,752.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,991 : 1,067,252 = 1,067,252 : x
  2. Step 2: Convert to fraction form
    523,991/1,067,252 = 1,067,252/x
  3. Step 3: Cross multiply
    523,991x = 1,067,252 × 1,067,252
  4. Step 4: Simplify right side
    523,991x = 1,139,026,831,504
  5. Step 5: Solve for x
    x = 1,139,026,831,504/523,991
  6. Step 6: Final answer
    x = 2,173,752.66

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.