Finding the Third Proportional to 970,873 and 1,456,310
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Solution
The third proportional to 970,873 and 1,456,310 is: 2,184,465.75
Step by Step Solution
- Step 1: Write the proportion equation
970,873 : 1,456,310 = 1,456,310 : x - Step 2: Convert to fraction form
970,873/1,456,310 = 1,456,310/x - Step 3: Cross multiply
970,873x = 1,456,310 × 1,456,310 - Step 4: Simplify right side
970,873x = 2,120,838,816,100 - Step 5: Solve for x
x = 2,120,838,816,100/970,873 - Step 6: Final answer
x = 2,184,465.75
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.