Finding the Third Proportional to 696,736 and 981,164
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Solution
The third proportional to 696,736 and 981,164 is: 1,381,703.82
Step by Step Solution
- Step 1: Write the proportion equation
696,736 : 981,164 = 981,164 : x - Step 2: Convert to fraction form
696,736/981,164 = 981,164/x - Step 3: Cross multiply
696,736x = 981,164 × 981,164 - Step 4: Simplify right side
696,736x = 962,682,794,896 - Step 5: Solve for x
x = 962,682,794,896/696,736 - Step 6: Final answer
x = 1,381,703.82
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Why These Related Problems?
These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.