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Finding the Third Proportional to 534,216 and 1,088,224

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Solution

The third proportional to 534,216 and 1,088,224 is: 2,216,765.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,216 : 1,088,224 = 1,088,224 : x
  2. Step 2: Convert to fraction form
    534,216/1,088,224 = 1,088,224/x
  3. Step 3: Cross multiply
    534,216x = 1,088,224 × 1,088,224
  4. Step 4: Simplify right side
    534,216x = 1,184,231,474,176
  5. Step 5: Solve for x
    x = 1,184,231,474,176/534,216
  6. Step 6: Final answer
    x = 2,216,765.27

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.