Finding the Third Proportional to 971,784 and 2,005,800
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Solution
The third proportional to 971,784 and 2,005,800 is: 4,140,049.27
Step by Step Solution
- Step 1: Write the proportion equation
971,784 : 2,005,800 = 2,005,800 : x - Step 2: Convert to fraction form
971,784/2,005,800 = 2,005,800/x - Step 3: Cross multiply
971,784x = 2,005,800 × 2,005,800 - Step 4: Simplify right side
971,784x = 4,023,233,640,000 - Step 5: Solve for x
x = 4,023,233,640,000/971,784 - Step 6: Final answer
x = 4,140,049.27
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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.