Finding the Third Proportional to 442,024 and 946,096
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Solution
The third proportional to 442,024 and 946,096 is: 2,024,997.83
Step by Step Solution
- Step 1: Write the proportion equation
442,024 : 946,096 = 946,096 : x - Step 2: Convert to fraction form
442,024/946,096 = 946,096/x - Step 3: Cross multiply
442,024x = 946,096 × 946,096 - Step 4: Simplify right side
442,024x = 895,097,641,216 - Step 5: Solve for x
x = 895,097,641,216/442,024 - Step 6: Final answer
x = 2,024,997.83
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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.