Finding the Third Proportional to 455,786 and 977,798
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Solution
The third proportional to 455,786 and 977,798 is: 2,097,670.68
Step by Step Solution
- Step 1: Write the proportion equation
455,786 : 977,798 = 977,798 : x - Step 2: Convert to fraction form
455,786/977,798 = 977,798/x - Step 3: Cross multiply
455,786x = 977,798 × 977,798 - Step 4: Simplify right side
455,786x = 956,088,928,804 - Step 5: Solve for x
x = 956,088,928,804/455,786 - Step 6: Final answer
x = 2,097,670.68
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.