Finding the Third Proportional to 414,854 and 904,790
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Solution
The third proportional to 414,854 and 904,790 is: 1,973,332.65
Step by Step Solution
- Step 1: Write the proportion equation
414,854 : 904,790 = 904,790 : x - Step 2: Convert to fraction form
414,854/904,790 = 904,790/x - Step 3: Cross multiply
414,854x = 904,790 × 904,790 - Step 4: Simplify right side
414,854x = 818,644,944,100 - Step 5: Solve for x
x = 818,644,944,100/414,854 - Step 6: Final answer
x = 1,973,332.65
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.