Finding the Third Proportional to 820,800 and 1,792,128
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Solution
The third proportional to 820,800 and 1,792,128 is: 3,912,917.60
Step by Step Solution
- Step 1: Write the proportion equation
820,800 : 1,792,128 = 1,792,128 : x - Step 2: Convert to fraction form
820,800/1,792,128 = 1,792,128/x - Step 3: Cross multiply
820,800x = 1,792,128 × 1,792,128 - Step 4: Simplify right side
820,800x = 3,211,722,768,384 - Step 5: Solve for x
x = 3,211,722,768,384/820,800 - Step 6: Final answer
x = 3,912,917.60
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.