Finding the Third Proportional to 460,208 and 984,384
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Solution
The third proportional to 460,208 and 984,384 is: 2,105,595.43
Step by Step Solution
- Step 1: Write the proportion equation
460,208 : 984,384 = 984,384 : x - Step 2: Convert to fraction form
460,208/984,384 = 984,384/x - Step 3: Cross multiply
460,208x = 984,384 × 984,384 - Step 4: Simplify right side
460,208x = 969,011,859,456 - Step 5: Solve for x
x = 969,011,859,456/460,208 - Step 6: Final answer
x = 2,105,595.43
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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.