Finding the Third Proportional to 823,200 and 1,803,816
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Solution
The third proportional to 823,200 and 1,803,816 is: 3,952,565.79
Step by Step Solution
- Step 1: Write the proportion equation
823,200 : 1,803,816 = 1,803,816 : x - Step 2: Convert to fraction form
823,200/1,803,816 = 1,803,816/x - Step 3: Cross multiply
823,200x = 1,803,816 × 1,803,816 - Step 4: Simplify right side
823,200x = 3,253,752,161,856 - Step 5: Solve for x
x = 3,253,752,161,856/823,200 - Step 6: Final answer
x = 3,952,565.79
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.