Finding the Third Proportional to 460,342 and 984,648
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Solution
The third proportional to 460,342 and 984,648 is: 2,106,111.73
Step by Step Solution
- Step 1: Write the proportion equation
460,342 : 984,648 = 984,648 : x - Step 2: Convert to fraction form
460,342/984,648 = 984,648/x - Step 3: Cross multiply
460,342x = 984,648 × 984,648 - Step 4: Simplify right side
460,342x = 969,531,683,904 - Step 5: Solve for x
x = 969,531,683,904/460,342 - Step 6: Final answer
x = 2,106,111.73
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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.