Finding the Third Proportional to 443,414 and 969,642
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Solution
The third proportional to 443,414 and 969,642 is: 2,120,378.72
Step by Step Solution
- Step 1: Write the proportion equation
443,414 : 969,642 = 969,642 : x - Step 2: Convert to fraction form
443,414/969,642 = 969,642/x - Step 3: Cross multiply
443,414x = 969,642 × 969,642 - Step 4: Simplify right side
443,414x = 940,205,608,164 - Step 5: Solve for x
x = 940,205,608,164/443,414 - Step 6: Final answer
x = 2,120,378.72
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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.