Finding the Third Proportional to 455,870 and 978,200
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Solution
The third proportional to 455,870 and 978,200 is: 2,099,009.02
Step by Step Solution
- Step 1: Write the proportion equation
455,870 : 978,200 = 978,200 : x - Step 2: Convert to fraction form
455,870/978,200 = 978,200/x - Step 3: Cross multiply
455,870x = 978,200 × 978,200 - Step 4: Simplify right side
455,870x = 956,875,240,000 - Step 5: Solve for x
x = 956,875,240,000/455,870 - Step 6: Final answer
x = 2,099,009.02
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.