Finding the Third Proportional to 426,144 and 946,880
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Solution
The third proportional to 426,144 and 946,880 is: 2,103,940.77
Step by Step Solution
- Step 1: Write the proportion equation
426,144 : 946,880 = 946,880 : x - Step 2: Convert to fraction form
426,144/946,880 = 946,880/x - Step 3: Cross multiply
426,144x = 946,880 × 946,880 - Step 4: Simplify right side
426,144x = 896,581,734,400 - Step 5: Solve for x
x = 896,581,734,400/426,144 - Step 6: Final answer
x = 2,103,940.77
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Why These Related Problems?
These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.