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Finding the Third Proportional to 832,227 and 1,790,853

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Solution

The third proportional to 832,227 and 1,790,853 is: 3,853,701.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,227 : 1,790,853 = 1,790,853 : x
  2. Step 2: Convert to fraction form
    832,227/1,790,853 = 1,790,853/x
  3. Step 3: Cross multiply
    832,227x = 1,790,853 × 1,790,853
  4. Step 4: Simplify right side
    832,227x = 3,207,154,467,609
  5. Step 5: Solve for x
    x = 3,207,154,467,609/832,227
  6. Step 6: Final answer
    x = 3,853,701.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.