Finding the Third Proportional to 401,578 and 836,426
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Solution
The third proportional to 401,578 and 836,426 is: 1,742,148.36
Step by Step Solution
- Step 1: Write the proportion equation
401,578 : 836,426 = 836,426 : x - Step 2: Convert to fraction form
401,578/836,426 = 836,426/x - Step 3: Cross multiply
401,578x = 836,426 × 836,426 - Step 4: Simplify right side
401,578x = 699,608,453,476 - Step 5: Solve for x
x = 699,608,453,476/401,578 - Step 6: Final answer
x = 1,742,148.36
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Why These Related Problems?
These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.