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Finding the Third Proportional to 534,195 and 1,088,172

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Solution

The third proportional to 534,195 and 1,088,172 is: 2,216,640.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,195 : 1,088,172 = 1,088,172 : x
  2. Step 2: Convert to fraction form
    534,195/1,088,172 = 1,088,172/x
  3. Step 3: Cross multiply
    534,195x = 1,088,172 × 1,088,172
  4. Step 4: Simplify right side
    534,195x = 1,184,118,301,584
  5. Step 5: Solve for x
    x = 1,184,118,301,584/534,195
  6. Step 6: Final answer
    x = 2,216,640.56

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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.