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Finding the Third Proportional to 472,800 and 1,024,356

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Solution

The third proportional to 472,800 and 1,024,356 is: 2,219,342.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,800 : 1,024,356 = 1,024,356 : x
  2. Step 2: Convert to fraction form
    472,800/1,024,356 = 1,024,356/x
  3. Step 3: Cross multiply
    472,800x = 1,024,356 × 1,024,356
  4. Step 4: Simplify right side
    472,800x = 1,049,305,214,736
  5. Step 5: Solve for x
    x = 1,049,305,214,736/472,800
  6. Step 6: Final answer
    x = 2,219,342.67

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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.