Finding the Third Proportional to 475,200 and 1,024,080
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Solution
The third proportional to 475,200 and 1,024,080 is: 2,206,944.12
Step by Step Solution
- Step 1: Write the proportion equation
475,200 : 1,024,080 = 1,024,080 : x - Step 2: Convert to fraction form
475,200/1,024,080 = 1,024,080/x - Step 3: Cross multiply
475,200x = 1,024,080 × 1,024,080 - Step 4: Simplify right side
475,200x = 1,048,739,846,400 - Step 5: Solve for x
x = 1,048,739,846,400/475,200 - Step 6: Final answer
x = 2,206,944.12
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.