Finding the Third Proportional to 442,022 and 946,092
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Solution
The third proportional to 442,022 and 946,092 is: 2,024,989.87
Step by Step Solution
- Step 1: Write the proportion equation
442,022 : 946,092 = 946,092 : x - Step 2: Convert to fraction form
442,022/946,092 = 946,092/x - Step 3: Cross multiply
442,022x = 946,092 × 946,092 - Step 4: Simplify right side
442,022x = 895,090,072,464 - Step 5: Solve for x
x = 895,090,072,464/442,022 - Step 6: Final answer
x = 2,024,989.87
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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.