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Finding the Third Proportional to 474,126 and 1,027,308

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Solution

The third proportional to 474,126 and 1,027,308 is: 2,225,909.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,126 : 1,027,308 = 1,027,308 : x
  2. Step 2: Convert to fraction form
    474,126/1,027,308 = 1,027,308/x
  3. Step 3: Cross multiply
    474,126x = 1,027,308 × 1,027,308
  4. Step 4: Simplify right side
    474,126x = 1,055,361,726,864
  5. Step 5: Solve for x
    x = 1,055,361,726,864/474,126
  6. Step 6: Final answer
    x = 2,225,909.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.