Finding the Third Proportional to 470,196 and 1,109,772
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Solution
The third proportional to 470,196 and 1,109,772 is: 2,619,320.22
Step by Step Solution
- Step 1: Write the proportion equation
470,196 : 1,109,772 = 1,109,772 : x - Step 2: Convert to fraction form
470,196/1,109,772 = 1,109,772/x - Step 3: Cross multiply
470,196x = 1,109,772 × 1,109,772 - Step 4: Simplify right side
470,196x = 1,231,593,891,984 - Step 5: Solve for x
x = 1,231,593,891,984/470,196 - Step 6: Final answer
x = 2,619,320.22
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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.