Finding the Third Proportional to 470,856 and 1,019,943
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Solution
The third proportional to 470,856 and 1,019,943 is: 2,209,345.79
Step by Step Solution
- Step 1: Write the proportion equation
470,856 : 1,019,943 = 1,019,943 : x - Step 2: Convert to fraction form
470,856/1,019,943 = 1,019,943/x - Step 3: Cross multiply
470,856x = 1,019,943 × 1,019,943 - Step 4: Simplify right side
470,856x = 1,040,283,723,249 - Step 5: Solve for x
x = 1,040,283,723,249/470,856 - Step 6: Final answer
x = 2,209,345.79
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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.