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Finding the Third Proportional to 764,856 and 1,180,224

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Solution

The third proportional to 764,856 and 1,180,224 is: 1,821,164.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,856 : 1,180,224 = 1,180,224 : x
  2. Step 2: Convert to fraction form
    764,856/1,180,224 = 1,180,224/x
  3. Step 3: Cross multiply
    764,856x = 1,180,224 × 1,180,224
  4. Step 4: Simplify right side
    764,856x = 1,392,928,690,176
  5. Step 5: Solve for x
    x = 1,392,928,690,176/764,856
  6. Step 6: Final answer
    x = 1,821,164.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.