Finding the Third Proportional to 470,448 and 1,018,656
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Solution
The third proportional to 470,448 and 1,018,656 is: 2,205,684.89
Step by Step Solution
- Step 1: Write the proportion equation
470,448 : 1,018,656 = 1,018,656 : x - Step 2: Convert to fraction form
470,448/1,018,656 = 1,018,656/x - Step 3: Cross multiply
470,448x = 1,018,656 × 1,018,656 - Step 4: Simplify right side
470,448x = 1,037,660,046,336 - Step 5: Solve for x
x = 1,037,660,046,336/470,448 - Step 6: Final answer
x = 2,205,684.89
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.