Finding the Third Proportional to 784,102 and 1,153,180
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Solution
The third proportional to 784,102 and 1,153,180 is: 1,695,983.57
Step by Step Solution
- Step 1: Write the proportion equation
784,102 : 1,153,180 = 1,153,180 : x - Step 2: Convert to fraction form
784,102/1,153,180 = 1,153,180/x - Step 3: Cross multiply
784,102x = 1,153,180 × 1,153,180 - Step 4: Simplify right side
784,102x = 1,329,824,112,400 - Step 5: Solve for x
x = 1,329,824,112,400/784,102 - Step 6: Final answer
x = 1,695,983.57
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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.