Finding the Third Proportional to 524,432 and 1,144,096
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Solution
The third proportional to 524,432 and 1,144,096 is: 2,495,949.25
Step by Step Solution
- Step 1: Write the proportion equation
524,432 : 1,144,096 = 1,144,096 : x - Step 2: Convert to fraction form
524,432/1,144,096 = 1,144,096/x - Step 3: Cross multiply
524,432x = 1,144,096 × 1,144,096 - Step 4: Simplify right side
524,432x = 1,308,955,657,216 - Step 5: Solve for x
x = 1,308,955,657,216/524,432 - Step 6: Final answer
x = 2,495,949.25
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.