Finding the Third Proportional to 947,492 and 1,457,834
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Solution
The third proportional to 947,492 and 1,457,834 is: 2,243,058.49
Step by Step Solution
- Step 1: Write the proportion equation
947,492 : 1,457,834 = 1,457,834 : x - Step 2: Convert to fraction form
947,492/1,457,834 = 1,457,834/x - Step 3: Cross multiply
947,492x = 1,457,834 × 1,457,834 - Step 4: Simplify right side
947,492x = 2,125,279,971,556 - Step 5: Solve for x
x = 2,125,279,971,556/947,492 - Step 6: Final answer
x = 2,243,058.49
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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.