Finding the Third Proportional to 514,902 and 1,076,856
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Solution
The third proportional to 514,902 and 1,076,856 is: 2,252,115.64
Step by Step Solution
- Step 1: Write the proportion equation
514,902 : 1,076,856 = 1,076,856 : x - Step 2: Convert to fraction form
514,902/1,076,856 = 1,076,856/x - Step 3: Cross multiply
514,902x = 1,076,856 × 1,076,856 - Step 4: Simplify right side
514,902x = 1,159,618,844,736 - Step 5: Solve for x
x = 1,159,618,844,736/514,902 - Step 6: Final answer
x = 2,252,115.64
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Why These Related Problems?
These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.