Finding the Third Proportional to 442,144 and 947,378
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Solution
The third proportional to 442,144 and 947,378 is: 2,029,938.38
Step by Step Solution
- Step 1: Write the proportion equation
442,144 : 947,378 = 947,378 : x - Step 2: Convert to fraction form
442,144/947,378 = 947,378/x - Step 3: Cross multiply
442,144x = 947,378 × 947,378 - Step 4: Simplify right side
442,144x = 897,525,074,884 - Step 5: Solve for x
x = 897,525,074,884/442,144 - Step 6: Final answer
x = 2,029,938.38
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.