Finding the Third Proportional to 654,824 and 1,410,408
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Solution
The third proportional to 654,824 and 1,410,408 is: 3,037,840.28
Step by Step Solution
- Step 1: Write the proportion equation
654,824 : 1,410,408 = 1,410,408 : x - Step 2: Convert to fraction form
654,824/1,410,408 = 1,410,408/x - Step 3: Cross multiply
654,824x = 1,410,408 × 1,410,408 - Step 4: Simplify right side
654,824x = 1,989,250,726,464 - Step 5: Solve for x
x = 1,989,250,726,464/654,824 - Step 6: Final answer
x = 3,037,840.28
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.