Finding the Third Proportional to 469,140 and 914,946
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Solution
The third proportional to 469,140 and 914,946 is: 1,784,384.58
Step by Step Solution
- Step 1: Write the proportion equation
469,140 : 914,946 = 914,946 : x - Step 2: Convert to fraction form
469,140/914,946 = 914,946/x - Step 3: Cross multiply
469,140x = 914,946 × 914,946 - Step 4: Simplify right side
469,140x = 837,126,182,916 - Step 5: Solve for x
x = 837,126,182,916/469,140 - Step 6: Final answer
x = 1,784,384.58
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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.