Finding the Third Proportional to 538,140 and 1,170,864
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Solution
The third proportional to 538,140 and 1,170,864 is: 2,547,520.17
Step by Step Solution
- Step 1: Write the proportion equation
538,140 : 1,170,864 = 1,170,864 : x - Step 2: Convert to fraction form
538,140/1,170,864 = 1,170,864/x - Step 3: Cross multiply
538,140x = 1,170,864 × 1,170,864 - Step 4: Simplify right side
538,140x = 1,370,922,506,496 - Step 5: Solve for x
x = 1,370,922,506,496/538,140 - Step 6: Final answer
x = 2,547,520.17
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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.