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Finding the Third Proportional to 387,392 and 843,404

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Solution

The third proportional to 387,392 and 843,404 is: 1,836,202.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,392 : 843,404 = 843,404 : x
  2. Step 2: Convert to fraction form
    387,392/843,404 = 843,404/x
  3. Step 3: Cross multiply
    387,392x = 843,404 × 843,404
  4. Step 4: Simplify right side
    387,392x = 711,330,307,216
  5. Step 5: Solve for x
    x = 711,330,307,216/387,392
  6. Step 6: Final answer
    x = 1,836,202.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.