Finding the Third Proportional to 386,012 and 836,428
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Solution
The third proportional to 386,012 and 836,428 is: 1,812,409.46
Step by Step Solution
- Step 1: Write the proportion equation
386,012 : 836,428 = 836,428 : x - Step 2: Convert to fraction form
386,012/836,428 = 836,428/x - Step 3: Cross multiply
386,012x = 836,428 × 836,428 - Step 4: Simplify right side
386,012x = 699,611,799,184 - Step 5: Solve for x
x = 699,611,799,184/386,012 - Step 6: Final answer
x = 1,812,409.46
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.