Finding the Third Proportional to 820,672 and 1,282,848
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Solution
The third proportional to 820,672 and 1,282,848 is: 2,005,306.62
Step by Step Solution
- Step 1: Write the proportion equation
820,672 : 1,282,848 = 1,282,848 : x - Step 2: Convert to fraction form
820,672/1,282,848 = 1,282,848/x - Step 3: Cross multiply
820,672x = 1,282,848 × 1,282,848 - Step 4: Simplify right side
820,672x = 1,645,698,991,104 - Step 5: Solve for x
x = 1,645,698,991,104/820,672 - Step 6: Final answer
x = 2,005,306.62
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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.