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Finding the Third Proportional to 493,263 and 1,062,660

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Solution

The third proportional to 493,263 and 1,062,660 is: 2,289,339.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,263 : 1,062,660 = 1,062,660 : x
  2. Step 2: Convert to fraction form
    493,263/1,062,660 = 1,062,660/x
  3. Step 3: Cross multiply
    493,263x = 1,062,660 × 1,062,660
  4. Step 4: Simplify right side
    493,263x = 1,129,246,275,600
  5. Step 5: Solve for x
    x = 1,129,246,275,600/493,263
  6. Step 6: Final answer
    x = 2,289,339.11

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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.