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Finding the Third Proportional to 467,450 and 1,004,720

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Solution

The third proportional to 467,450 and 1,004,720 is: 2,159,508.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,450 : 1,004,720 = 1,004,720 : x
  2. Step 2: Convert to fraction form
    467,450/1,004,720 = 1,004,720/x
  3. Step 3: Cross multiply
    467,450x = 1,004,720 × 1,004,720
  4. Step 4: Simplify right side
    467,450x = 1,009,462,278,400
  5. Step 5: Solve for x
    x = 1,009,462,278,400/467,450
  6. Step 6: Final answer
    x = 2,159,508.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.