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Finding the Third Proportional to 472,764 and 1,024,296

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Solution

The third proportional to 472,764 and 1,024,296 is: 2,219,251.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,764 : 1,024,296 = 1,024,296 : x
  2. Step 2: Convert to fraction form
    472,764/1,024,296 = 1,024,296/x
  3. Step 3: Cross multiply
    472,764x = 1,024,296 × 1,024,296
  4. Step 4: Simplify right side
    472,764x = 1,049,182,295,616
  5. Step 5: Solve for x
    x = 1,049,182,295,616/472,764
  6. Step 6: Final answer
    x = 2,219,251.67

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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.