Finding the Third Proportional to 822,106 and 1,801,316
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Solution
The third proportional to 822,106 and 1,801,316 is: 3,946,862.49
Step by Step Solution
- Step 1: Write the proportion equation
822,106 : 1,801,316 = 1,801,316 : x - Step 2: Convert to fraction form
822,106/1,801,316 = 1,801,316/x - Step 3: Cross multiply
822,106x = 1,801,316 × 1,801,316 - Step 4: Simplify right side
822,106x = 3,244,739,331,856 - Step 5: Solve for x
x = 3,244,739,331,856/822,106 - Step 6: Final answer
x = 3,946,862.49
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.