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Finding the Third Proportional to 413,808 and 888,857

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Solution

The third proportional to 413,808 and 888,857 is: 1,909,259.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,808 : 888,857 = 888,857 : x
  2. Step 2: Convert to fraction form
    413,808/888,857 = 888,857/x
  3. Step 3: Cross multiply
    413,808x = 888,857 × 888,857
  4. Step 4: Simplify right side
    413,808x = 790,066,766,449
  5. Step 5: Solve for x
    x = 790,066,766,449/413,808
  6. Step 6: Final answer
    x = 1,909,259.29

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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.