Finding the Third Proportional to 947,920 and 2,105,792
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Solution
The third proportional to 947,920 and 2,105,792 is: 4,677,989.65
Step by Step Solution
- Step 1: Write the proportion equation
947,920 : 2,105,792 = 2,105,792 : x - Step 2: Convert to fraction form
947,920/2,105,792 = 2,105,792/x - Step 3: Cross multiply
947,920x = 2,105,792 × 2,105,792 - Step 4: Simplify right side
947,920x = 4,434,359,947,264 - Step 5: Solve for x
x = 4,434,359,947,264/947,920 - Step 6: Final answer
x = 4,677,989.65
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Why These Related Problems?
These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.