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Finding the Third Proportional to 923,980 and 1,382,196

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Solution

The third proportional to 923,980 and 1,382,196 is: 2,067,648.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,980 : 1,382,196 = 1,382,196 : x
  2. Step 2: Convert to fraction form
    923,980/1,382,196 = 1,382,196/x
  3. Step 3: Cross multiply
    923,980x = 1,382,196 × 1,382,196
  4. Step 4: Simplify right side
    923,980x = 1,910,465,782,416
  5. Step 5: Solve for x
    x = 1,910,465,782,416/923,980
  6. Step 6: Final answer
    x = 2,067,648.41

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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.