Finding the Third Proportional to 396,104 and 824,846
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Solution
The third proportional to 396,104 and 824,846 is: 1,717,657.29
Step by Step Solution
- Step 1: Write the proportion equation
396,104 : 824,846 = 824,846 : x - Step 2: Convert to fraction form
396,104/824,846 = 824,846/x - Step 3: Cross multiply
396,104x = 824,846 × 824,846 - Step 4: Simplify right side
396,104x = 680,370,923,716 - Step 5: Solve for x
x = 680,370,923,716/396,104 - Step 6: Final answer
x = 1,717,657.29
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Why These Related Problems?
These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.