Finding the Third Proportional to 442,786 and 917,078
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Solution
The third proportional to 442,786 and 917,078 is: 1,899,409.78
Step by Step Solution
- Step 1: Write the proportion equation
442,786 : 917,078 = 917,078 : x - Step 2: Convert to fraction form
442,786/917,078 = 917,078/x - Step 3: Cross multiply
442,786x = 917,078 × 917,078 - Step 4: Simplify right side
442,786x = 841,032,058,084 - Step 5: Solve for x
x = 841,032,058,084/442,786 - Step 6: Final answer
x = 1,899,409.78
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Why These Related Problems?
These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.