Finding the Third Proportional to 822,681 and 1,834,410
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Solution
The third proportional to 822,681 and 1,834,410 is: 4,090,358.29
Step by Step Solution
- Step 1: Write the proportion equation
822,681 : 1,834,410 = 1,834,410 : x - Step 2: Convert to fraction form
822,681/1,834,410 = 1,834,410/x - Step 3: Cross multiply
822,681x = 1,834,410 × 1,834,410 - Step 4: Simplify right side
822,681x = 3,365,060,048,100 - Step 5: Solve for x
x = 3,365,060,048,100/822,681 - Step 6: Final answer
x = 4,090,358.29
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Why These Related Problems?
These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.