Finding the Third Proportional to 769,856 and 1,108,944
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Solution
The third proportional to 769,856 and 1,108,944 is: 1,597,385.48
Step by Step Solution
- Step 1: Write the proportion equation
769,856 : 1,108,944 = 1,108,944 : x - Step 2: Convert to fraction form
769,856/1,108,944 = 1,108,944/x - Step 3: Cross multiply
769,856x = 1,108,944 × 1,108,944 - Step 4: Simplify right side
769,856x = 1,229,756,795,136 - Step 5: Solve for x
x = 1,229,756,795,136/769,856 - Step 6: Final answer
x = 1,597,385.48
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Why These Related Problems?
These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.