Finding the Third Proportional to 460,319 and 984,604
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Solution
The third proportional to 460,319 and 984,604 is: 2,106,028.73
Step by Step Solution
- Step 1: Write the proportion equation
460,319 : 984,604 = 984,604 : x - Step 2: Convert to fraction form
460,319/984,604 = 984,604/x - Step 3: Cross multiply
460,319x = 984,604 × 984,604 - Step 4: Simplify right side
460,319x = 969,445,036,816 - Step 5: Solve for x
x = 969,445,036,816/460,319 - Step 6: Final answer
x = 2,106,028.73
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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.