Finding the Third Proportional to 947,432 and 1,456,290
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Solution
The third proportional to 947,432 and 1,456,290 is: 2,238,451.48
Step by Step Solution
- Step 1: Write the proportion equation
947,432 : 1,456,290 = 1,456,290 : x - Step 2: Convert to fraction form
947,432/1,456,290 = 1,456,290/x - Step 3: Cross multiply
947,432x = 1,456,290 × 1,456,290 - Step 4: Simplify right side
947,432x = 2,120,780,564,100 - Step 5: Solve for x
x = 2,120,780,564,100/947,432 - Step 6: Final answer
x = 2,238,451.48
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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.