Finding the Third Proportional to 429,144 and 913,728
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Solution
The third proportional to 429,144 and 913,728 is: 1,945,498.15
Step by Step Solution
- Step 1: Write the proportion equation
429,144 : 913,728 = 913,728 : x - Step 2: Convert to fraction form
429,144/913,728 = 913,728/x - Step 3: Cross multiply
429,144x = 913,728 × 913,728 - Step 4: Simplify right side
429,144x = 834,898,857,984 - Step 5: Solve for x
x = 834,898,857,984/429,144 - Step 6: Final answer
x = 1,945,498.15
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Why These Related Problems?
These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.