Finding the Third Proportional to 507,982 and 1,085,944
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Solution
The third proportional to 507,982 and 1,085,944 is: 2,321,488.50
Step by Step Solution
- Step 1: Write the proportion equation
507,982 : 1,085,944 = 1,085,944 : x - Step 2: Convert to fraction form
507,982/1,085,944 = 1,085,944/x - Step 3: Cross multiply
507,982x = 1,085,944 × 1,085,944 - Step 4: Simplify right side
507,982x = 1,179,274,371,136 - Step 5: Solve for x
x = 1,179,274,371,136/507,982 - Step 6: Final answer
x = 2,321,488.50
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.