Finding the Third Proportional to 728,469 and 1,105,827
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Solution
The third proportional to 728,469 and 1,105,827 is: 1,678,662.17
Step by Step Solution
- Step 1: Write the proportion equation
728,469 : 1,105,827 = 1,105,827 : x - Step 2: Convert to fraction form
728,469/1,105,827 = 1,105,827/x - Step 3: Cross multiply
728,469x = 1,105,827 × 1,105,827 - Step 4: Simplify right side
728,469x = 1,222,853,353,929 - Step 5: Solve for x
x = 1,222,853,353,929/728,469 - Step 6: Final answer
x = 1,678,662.17
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Why These Related Problems?
These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.