Finding the Third Proportional to 947,524 and 1,406,854
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Solution
The third proportional to 947,524 and 1,406,854 is: 2,088,852.82
Step by Step Solution
- Step 1: Write the proportion equation
947,524 : 1,406,854 = 1,406,854 : x - Step 2: Convert to fraction form
947,524/1,406,854 = 1,406,854/x - Step 3: Cross multiply
947,524x = 1,406,854 × 1,406,854 - Step 4: Simplify right side
947,524x = 1,979,238,177,316 - Step 5: Solve for x
x = 1,979,238,177,316/947,524 - Step 6: Final answer
x = 2,088,852.82
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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.