Finding the Third Proportional to 442,900 and 960,824
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Solution
The third proportional to 442,900 and 960,824 is: 2,084,404.51
Step by Step Solution
- Step 1: Write the proportion equation
442,900 : 960,824 = 960,824 : x - Step 2: Convert to fraction form
442,900/960,824 = 960,824/x - Step 3: Cross multiply
442,900x = 960,824 × 960,824 - Step 4: Simplify right side
442,900x = 923,182,758,976 - Step 5: Solve for x
x = 923,182,758,976/442,900 - Step 6: Final answer
x = 2,084,404.51
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.