Finding the Third Proportional to 460,184 and 984,344
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Solution
The third proportional to 460,184 and 984,344 is: 2,105,534.11
Step by Step Solution
- Step 1: Write the proportion equation
460,184 : 984,344 = 984,344 : x - Step 2: Convert to fraction form
460,184/984,344 = 984,344/x - Step 3: Cross multiply
460,184x = 984,344 × 984,344 - Step 4: Simplify right side
460,184x = 968,933,110,336 - Step 5: Solve for x
x = 968,933,110,336/460,184 - Step 6: Final answer
x = 2,105,534.11
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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.