Finding the Third Proportional to 461,096,884 and 988,092,448
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Solution
The third proportional to 461,096,884 and 988,092,448 is: 2,117,400,311.46
Step by Step Solution
- Step 1: Write the proportion equation
461,096,884 : 988,092,448 = 988,092,448 : x - Step 2: Convert to fraction form
461,096,884/988,092,448 = 988,092,448/x - Step 3: Cross multiply
461,096,884x = 988,092,448 × 988,092,448 - Step 4: Simplify right side
461,096,884x = 976,326,685,794,632,704 - Step 5: Solve for x
x = 976,326,685,794,632,704/461,096,884 - Step 6: Final answer
x = 2,117,400,311.46
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.