Finding the Third Proportional to 455,691 and 997,162
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Solution
The third proportional to 455,691 and 997,162 is: 2,182,031.36
Step by Step Solution
- Step 1: Write the proportion equation
455,691 : 997,162 = 997,162 : x - Step 2: Convert to fraction form
455,691/997,162 = 997,162/x - Step 3: Cross multiply
455,691x = 997,162 × 997,162 - Step 4: Simplify right side
455,691x = 994,332,054,244 - Step 5: Solve for x
x = 994,332,054,244/455,691 - Step 6: Final answer
x = 2,182,031.36
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.