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Finding the Third Proportional to 483,022 and 1,059,356

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Solution

The third proportional to 483,022 and 1,059,356 is: 2,323,362.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,022 : 1,059,356 = 1,059,356 : x
  2. Step 2: Convert to fraction form
    483,022/1,059,356 = 1,059,356/x
  3. Step 3: Cross multiply
    483,022x = 1,059,356 × 1,059,356
  4. Step 4: Simplify right side
    483,022x = 1,122,235,134,736
  5. Step 5: Solve for x
    x = 1,122,235,134,736/483,022
  6. Step 6: Final answer
    x = 2,323,362.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.