Finding the Third Proportional to 947,430 and 1,456,287
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Solution
The third proportional to 947,430 and 1,456,287 is: 2,238,446.98
Step by Step Solution
- Step 1: Write the proportion equation
947,430 : 1,456,287 = 1,456,287 : x - Step 2: Convert to fraction form
947,430/1,456,287 = 1,456,287/x - Step 3: Cross multiply
947,430x = 1,456,287 × 1,456,287 - Step 4: Simplify right side
947,430x = 2,120,771,826,369 - Step 5: Solve for x
x = 2,120,771,826,369/947,430 - Step 6: Final answer
x = 2,238,446.98
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Why These Related Problems?
These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.