Finding the Third Proportional to 762,096 and 1,664,157
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Solution
The third proportional to 762,096 and 1,664,157 is: 3,633,949.69
Step by Step Solution
- Step 1: Write the proportion equation
762,096 : 1,664,157 = 1,664,157 : x - Step 2: Convert to fraction form
762,096/1,664,157 = 1,664,157/x - Step 3: Cross multiply
762,096x = 1,664,157 × 1,664,157 - Step 4: Simplify right side
762,096x = 2,769,418,520,649 - Step 5: Solve for x
x = 2,769,418,520,649/762,096 - Step 6: Final answer
x = 3,633,949.69
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.