Finding the Third Proportional to 460,378 and 984,704
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Solution
The third proportional to 460,378 and 984,704 is: 2,106,186.58
Step by Step Solution
- Step 1: Write the proportion equation
460,378 : 984,704 = 984,704 : x - Step 2: Convert to fraction form
460,378/984,704 = 984,704/x - Step 3: Cross multiply
460,378x = 984,704 × 984,704 - Step 4: Simplify right side
460,378x = 969,641,967,616 - Step 5: Solve for x
x = 969,641,967,616/460,378 - Step 6: Final answer
x = 2,106,186.58
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.