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Finding the Third Proportional to 923,949 and 1,382,157

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Solution

The third proportional to 923,949 and 1,382,157 is: 2,067,601.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,949 : 1,382,157 = 1,382,157 : x
  2. Step 2: Convert to fraction form
    923,949/1,382,157 = 1,382,157/x
  3. Step 3: Cross multiply
    923,949x = 1,382,157 × 1,382,157
  4. Step 4: Simplify right side
    923,949x = 1,910,357,972,649
  5. Step 5: Solve for x
    x = 1,910,357,972,649/923,949
  6. Step 6: Final answer
    x = 2,067,601.10

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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.