Finding the Third Proportional to 513,443 and 1,144,944
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Solution
The third proportional to 513,443 and 1,144,944 is: 2,553,149.55
Step by Step Solution
- Step 1: Write the proportion equation
513,443 : 1,144,944 = 1,144,944 : x - Step 2: Convert to fraction form
513,443/1,144,944 = 1,144,944/x - Step 3: Cross multiply
513,443x = 1,144,944 × 1,144,944 - Step 4: Simplify right side
513,443x = 1,310,896,763,136 - Step 5: Solve for x
x = 1,310,896,763,136/513,443 - Step 6: Final answer
x = 2,553,149.55
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Why These Related Problems?
These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.