Finding the Third Proportional to 451,912 and 973,872
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Solution
The third proportional to 451,912 and 973,872 is: 2,098,697.69
Step by Step Solution
- Step 1: Write the proportion equation
451,912 : 973,872 = 973,872 : x - Step 2: Convert to fraction form
451,912/973,872 = 973,872/x - Step 3: Cross multiply
451,912x = 973,872 × 973,872 - Step 4: Simplify right side
451,912x = 948,426,672,384 - Step 5: Solve for x
x = 948,426,672,384/451,912 - Step 6: Final answer
x = 2,098,697.69
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.