Finding the Third Proportional to 448,932 and 997,514
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Solution
The third proportional to 448,932 and 997,514 is: 2,216,447.44
Step by Step Solution
- Step 1: Write the proportion equation
448,932 : 997,514 = 997,514 : x - Step 2: Convert to fraction form
448,932/997,514 = 997,514/x - Step 3: Cross multiply
448,932x = 997,514 × 997,514 - Step 4: Simplify right side
448,932x = 995,034,180,196 - Step 5: Solve for x
x = 995,034,180,196/448,932 - Step 6: Final answer
x = 2,216,447.44
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Why These Related Problems?
These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.