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Finding the Third Proportional to 923,916 and 1,382,107

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Solution

The third proportional to 923,916 and 1,382,107 is: 2,067,525.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,916 : 1,382,107 = 1,382,107 : x
  2. Step 2: Convert to fraction form
    923,916/1,382,107 = 1,382,107/x
  3. Step 3: Cross multiply
    923,916x = 1,382,107 × 1,382,107
  4. Step 4: Simplify right side
    923,916x = 1,910,219,759,449
  5. Step 5: Solve for x
    x = 1,910,219,759,449/923,916
  6. Step 6: Final answer
    x = 2,067,525.36

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Why These Related Problems?

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