Finding the Third Proportional to 406,960 and 851,094
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Solution
The third proportional to 406,960 and 851,094 is: 1,779,931.68
Step by Step Solution
- Step 1: Write the proportion equation
406,960 : 851,094 = 851,094 : x - Step 2: Convert to fraction form
406,960/851,094 = 851,094/x - Step 3: Cross multiply
406,960x = 851,094 × 851,094 - Step 4: Simplify right side
406,960x = 724,360,996,836 - Step 5: Solve for x
x = 724,360,996,836/406,960 - Step 6: Final answer
x = 1,779,931.68
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Why These Related Problems?
These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.