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Finding the Third Proportional to 474,236 and 843,214

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Solution

The third proportional to 474,236 and 843,214 is: 1,499,274.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,236 : 843,214 = 843,214 : x
  2. Step 2: Convert to fraction form
    474,236/843,214 = 843,214/x
  3. Step 3: Cross multiply
    474,236x = 843,214 × 843,214
  4. Step 4: Simplify right side
    474,236x = 711,009,849,796
  5. Step 5: Solve for x
    x = 711,009,849,796/474,236
  6. Step 6: Final answer
    x = 1,499,274.31

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.