Finding the Third Proportional to 405,768 and 867,820
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Solution
The third proportional to 405,768 and 867,820 is: 1,856,015.14
Step by Step Solution
- Step 1: Write the proportion equation
405,768 : 867,820 = 867,820 : x - Step 2: Convert to fraction form
405,768/867,820 = 867,820/x - Step 3: Cross multiply
405,768x = 867,820 × 867,820 - Step 4: Simplify right side
405,768x = 753,111,552,400 - Step 5: Solve for x
x = 753,111,552,400/405,768 - Step 6: Final answer
x = 1,856,015.14
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.