Finding the Third Proportional to 384,510 and 843,900
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Solution
The third proportional to 384,510 and 843,900 is: 1,852,142.23
Step by Step Solution
- Step 1: Write the proportion equation
384,510 : 843,900 = 843,900 : x - Step 2: Convert to fraction form
384,510/843,900 = 843,900/x - Step 3: Cross multiply
384,510x = 843,900 × 843,900 - Step 4: Simplify right side
384,510x = 712,167,210,000 - Step 5: Solve for x
x = 712,167,210,000/384,510 - Step 6: Final answer
x = 1,852,142.23
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.