Finding the Third Proportional to 433,574 and 927,412
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Solution
The third proportional to 433,574 and 927,412 is: 1,983,728.31
Step by Step Solution
- Step 1: Write the proportion equation
433,574 : 927,412 = 927,412 : x - Step 2: Convert to fraction form
433,574/927,412 = 927,412/x - Step 3: Cross multiply
433,574x = 927,412 × 927,412 - Step 4: Simplify right side
433,574x = 860,093,017,744 - Step 5: Solve for x
x = 860,093,017,744/433,574 - Step 6: Final answer
x = 1,983,728.31
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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.