Finding the Third Proportional to 970,874 and 1,456,311
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Solution
The third proportional to 970,874 and 1,456,311 is: 2,184,466.50
Step by Step Solution
- Step 1: Write the proportion equation
970,874 : 1,456,311 = 1,456,311 : x - Step 2: Convert to fraction form
970,874/1,456,311 = 1,456,311/x - Step 3: Cross multiply
970,874x = 1,456,311 × 1,456,311 - Step 4: Simplify right side
970,874x = 2,120,841,728,721 - Step 5: Solve for x
x = 2,120,841,728,721/970,874 - Step 6: Final answer
x = 2,184,466.50
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.