Finding the Third Proportional to 416,836 and 983,002
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Solution
The third proportional to 416,836 and 983,002 is: 2,318,160.94
Step by Step Solution
- Step 1: Write the proportion equation
416,836 : 983,002 = 983,002 : x - Step 2: Convert to fraction form
416,836/983,002 = 983,002/x - Step 3: Cross multiply
416,836x = 983,002 × 983,002 - Step 4: Simplify right side
416,836x = 966,292,932,004 - Step 5: Solve for x
x = 966,292,932,004/416,836 - Step 6: Final answer
x = 2,318,160.94
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Why These Related Problems?
These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.