Finding the Third Proportional to 430,818 and 947,196
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Solution
The third proportional to 430,818 and 947,196 is: 2,082,504.13
Step by Step Solution
- Step 1: Write the proportion equation
430,818 : 947,196 = 947,196 : x - Step 2: Convert to fraction form
430,818/947,196 = 947,196/x - Step 3: Cross multiply
430,818x = 947,196 × 947,196 - Step 4: Simplify right side
430,818x = 897,180,262,416 - Step 5: Solve for x
x = 897,180,262,416/430,818 - Step 6: Final answer
x = 2,082,504.13
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.