Finding the Third Proportional to 431,196 and 907,074
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Solution
The third proportional to 431,196 and 907,074 is: 1,908,142.10
Step by Step Solution
- Step 1: Write the proportion equation
431,196 : 907,074 = 907,074 : x - Step 2: Convert to fraction form
431,196/907,074 = 907,074/x - Step 3: Cross multiply
431,196x = 907,074 × 907,074 - Step 4: Simplify right side
431,196x = 822,783,241,476 - Step 5: Solve for x
x = 822,783,241,476/431,196 - Step 6: Final answer
x = 1,908,142.10
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Why These Related Problems?
These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.