Finding the Third Proportional to 820,280 and 1,284,182
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Solution
The third proportional to 820,280 and 1,284,182 is: 2,010,439.62
Step by Step Solution
- Step 1: Write the proportion equation
820,280 : 1,284,182 = 1,284,182 : x - Step 2: Convert to fraction form
820,280/1,284,182 = 1,284,182/x - Step 3: Cross multiply
820,280x = 1,284,182 × 1,284,182 - Step 4: Simplify right side
820,280x = 1,649,123,409,124 - Step 5: Solve for x
x = 1,649,123,409,124/820,280 - Step 6: Final answer
x = 2,010,439.62
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Why These Related Problems?
These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.