Finding the Third Proportional to 455,184 and 997,443
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Solution
The third proportional to 455,184 and 997,443 is: 2,185,693.12
Step by Step Solution
- Step 1: Write the proportion equation
455,184 : 997,443 = 997,443 : x - Step 2: Convert to fraction form
455,184/997,443 = 997,443/x - Step 3: Cross multiply
455,184x = 997,443 × 997,443 - Step 4: Simplify right side
455,184x = 994,892,538,249 - Step 5: Solve for x
x = 994,892,538,249/455,184 - Step 6: Final answer
x = 2,185,693.12
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.