Finding the Third Proportional to 465,671,425 and 715,770,347
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Solution
The third proportional to 465,671,425 and 715,770,347 is: 1,100,190,310.46
Step by Step Solution
- Step 1: Write the proportion equation
465,671,425 : 715,770,347 = 715,770,347 : x - Step 2: Convert to fraction form
465,671,425/715,770,347 = 715,770,347/x - Step 3: Cross multiply
465,671,425x = 715,770,347 × 715,770,347 - Step 4: Simplify right side
465,671,425x = 512,327,189,644,500,416 - Step 5: Solve for x
x = 512,327,189,644,500,416/465,671,425 - Step 6: Final answer
x = 1,100,190,310.46
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Why These Related Problems?
These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.