Finding the Third Proportional to 429,696 and 933,216
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Solution
The third proportional to 429,696 and 933,216 is: 2,026,763.35
Step by Step Solution
- Step 1: Write the proportion equation
429,696 : 933,216 = 933,216 : x - Step 2: Convert to fraction form
429,696/933,216 = 933,216/x - Step 3: Cross multiply
429,696x = 933,216 × 933,216 - Step 4: Simplify right side
429,696x = 870,892,102,656 - Step 5: Solve for x
x = 870,892,102,656/429,696 - Step 6: Final answer
x = 2,026,763.35
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.