Finding the Third Proportional to 470,200 and 1,109,782
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Solution
The third proportional to 470,200 and 1,109,782 is: 2,619,345.15
Step by Step Solution
- Step 1: Write the proportion equation
470,200 : 1,109,782 = 1,109,782 : x - Step 2: Convert to fraction form
470,200/1,109,782 = 1,109,782/x - Step 3: Cross multiply
470,200x = 1,109,782 × 1,109,782 - Step 4: Simplify right side
470,200x = 1,231,616,087,524 - Step 5: Solve for x
x = 1,231,616,087,524/470,200 - Step 6: Final answer
x = 2,619,345.15
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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.