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Finding the Third Proportional to 923,924 and 1,382,118

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Solution

The third proportional to 923,924 and 1,382,118 is: 2,067,540.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,924 : 1,382,118 = 1,382,118 : x
  2. Step 2: Convert to fraction form
    923,924/1,382,118 = 1,382,118/x
  3. Step 3: Cross multiply
    923,924x = 1,382,118 × 1,382,118
  4. Step 4: Simplify right side
    923,924x = 1,910,250,165,924
  5. Step 5: Solve for x
    x = 1,910,250,165,924/923,924
  6. Step 6: Final answer
    x = 2,067,540.37

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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.