Finding the Third Proportional to 947,924 and 2,105,800
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Solution
The third proportional to 947,924 and 2,105,800 is: 4,678,005.45
Step by Step Solution
- Step 1: Write the proportion equation
947,924 : 2,105,800 = 2,105,800 : x - Step 2: Convert to fraction form
947,924/2,105,800 = 2,105,800/x - Step 3: Cross multiply
947,924x = 2,105,800 × 2,105,800 - Step 4: Simplify right side
947,924x = 4,434,393,640,000 - Step 5: Solve for x
x = 4,434,393,640,000/947,924 - Step 6: Final answer
x = 4,678,005.45
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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.