Finding the Third Proportional to 419,808 and 905,952
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Solution
The third proportional to 419,808 and 905,952 is: 1,955,058.09
Step by Step Solution
- Step 1: Write the proportion equation
419,808 : 905,952 = 905,952 : x - Step 2: Convert to fraction form
419,808/905,952 = 905,952/x - Step 3: Cross multiply
419,808x = 905,952 × 905,952 - Step 4: Simplify right side
419,808x = 820,749,026,304 - Step 5: Solve for x
x = 820,749,026,304/419,808 - Step 6: Final answer
x = 1,955,058.09
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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.