Finding the Third Proportional to 420,114 and 921,862
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Solution
The third proportional to 420,114 and 921,862 is: 2,022,854.62
Step by Step Solution
- Step 1: Write the proportion equation
420,114 : 921,862 = 921,862 : x - Step 2: Convert to fraction form
420,114/921,862 = 921,862/x - Step 3: Cross multiply
420,114x = 921,862 × 921,862 - Step 4: Simplify right side
420,114x = 849,829,547,044 - Step 5: Solve for x
x = 849,829,547,044/420,114 - Step 6: Final answer
x = 2,022,854.62
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.