Finding the Third Proportional to 786,072 and 1,684,284
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Solution
The third proportional to 786,072 and 1,684,284 is: 3,608,845.75
Step by Step Solution
- Step 1: Write the proportion equation
786,072 : 1,684,284 = 1,684,284 : x - Step 2: Convert to fraction form
786,072/1,684,284 = 1,684,284/x - Step 3: Cross multiply
786,072x = 1,684,284 × 1,684,284 - Step 4: Simplify right side
786,072x = 2,836,812,592,656 - Step 5: Solve for x
x = 2,836,812,592,656/786,072 - Step 6: Final answer
x = 3,608,845.75
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.