Finding the Third Proportional to 469,490 and 997,156
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Solution
The third proportional to 469,490 and 997,156 is: 2,117,872.77
Step by Step Solution
- Step 1: Write the proportion equation
469,490 : 997,156 = 997,156 : x - Step 2: Convert to fraction form
469,490/997,156 = 997,156/x - Step 3: Cross multiply
469,490x = 997,156 × 997,156 - Step 4: Simplify right side
469,490x = 994,320,088,336 - Step 5: Solve for x
x = 994,320,088,336/469,490 - Step 6: Final answer
x = 2,117,872.77
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.