Finding the Third Proportional to 415,064 and 907,012
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Solution
The third proportional to 415,064 and 907,012 is: 1,982,033.54
Step by Step Solution
- Step 1: Write the proportion equation
415,064 : 907,012 = 907,012 : x - Step 2: Convert to fraction form
415,064/907,012 = 907,012/x - Step 3: Cross multiply
415,064x = 907,012 × 907,012 - Step 4: Simplify right side
415,064x = 822,670,768,144 - Step 5: Solve for x
x = 822,670,768,144/415,064 - Step 6: Final answer
x = 1,982,033.54
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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.