Finding the Third Proportional to 649,834 and 1,449,084
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Solution
The third proportional to 649,834 and 1,449,084 is: 3,231,355.14
Step by Step Solution
- Step 1: Write the proportion equation
649,834 : 1,449,084 = 1,449,084 : x - Step 2: Convert to fraction form
649,834/1,449,084 = 1,449,084/x - Step 3: Cross multiply
649,834x = 1,449,084 × 1,449,084 - Step 4: Simplify right side
649,834x = 2,099,844,439,056 - Step 5: Solve for x
x = 2,099,844,439,056/649,834 - Step 6: Final answer
x = 3,231,355.14
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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.