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Finding the Third Proportional to 472,968 and 1,015,920

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Solution

The third proportional to 472,968 and 1,015,920 is: 2,182,163.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,968 : 1,015,920 = 1,015,920 : x
  2. Step 2: Convert to fraction form
    472,968/1,015,920 = 1,015,920/x
  3. Step 3: Cross multiply
    472,968x = 1,015,920 × 1,015,920
  4. Step 4: Simplify right side
    472,968x = 1,032,093,446,400
  5. Step 5: Solve for x
    x = 1,032,093,446,400/472,968
  6. Step 6: Final answer
    x = 2,182,163.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.