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Finding the Third Proportional to 413,806 and 888,853

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Solution

The third proportional to 413,806 and 888,853 is: 1,909,251.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,806 : 888,853 = 888,853 : x
  2. Step 2: Convert to fraction form
    413,806/888,853 = 888,853/x
  3. Step 3: Cross multiply
    413,806x = 888,853 × 888,853
  4. Step 4: Simplify right side
    413,806x = 790,059,655,609
  5. Step 5: Solve for x
    x = 790,059,655,609/413,806
  6. Step 6: Final answer
    x = 1,909,251.33

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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.