Finding the Third Proportional to 470,155 and 1,019,042
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Solution
The third proportional to 470,155 and 1,019,042 is: 2,208,732.43
Step by Step Solution
- Step 1: Write the proportion equation
470,155 : 1,019,042 = 1,019,042 : x - Step 2: Convert to fraction form
470,155/1,019,042 = 1,019,042/x - Step 3: Cross multiply
470,155x = 1,019,042 × 1,019,042 - Step 4: Simplify right side
470,155x = 1,038,446,597,764 - Step 5: Solve for x
x = 1,038,446,597,764/470,155 - Step 6: Final answer
x = 2,208,732.43
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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.