Finding the Third Proportional to 412,174 and 868,630
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Solution
The third proportional to 412,174 and 868,630 is: 1,830,581.45
Step by Step Solution
- Step 1: Write the proportion equation
412,174 : 868,630 = 868,630 : x - Step 2: Convert to fraction form
412,174/868,630 = 868,630/x - Step 3: Cross multiply
412,174x = 868,630 × 868,630 - Step 4: Simplify right side
412,174x = 754,518,076,900 - Step 5: Solve for x
x = 754,518,076,900/412,174 - Step 6: Final answer
x = 1,830,581.45
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Why These Related Problems?
These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.