Finding the Third Proportional to 378,780 and 841,641
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Solution
The third proportional to 378,780 and 841,641 is: 1,870,108.17
Step by Step Solution
- Step 1: Write the proportion equation
378,780 : 841,641 = 841,641 : x - Step 2: Convert to fraction form
378,780/841,641 = 841,641/x - Step 3: Cross multiply
378,780x = 841,641 × 841,641 - Step 4: Simplify right side
378,780x = 708,359,572,881 - Step 5: Solve for x
x = 708,359,572,881/378,780 - Step 6: Final answer
x = 1,870,108.17
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Why These Related Problems?
These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.