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Finding the Third Proportional to 483,697 and 1,025,055

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Solution

The third proportional to 483,697 and 1,025,055 is: 2,172,305.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,697 : 1,025,055 = 1,025,055 : x
  2. Step 2: Convert to fraction form
    483,697/1,025,055 = 1,025,055/x
  3. Step 3: Cross multiply
    483,697x = 1,025,055 × 1,025,055
  4. Step 4: Simplify right side
    483,697x = 1,050,737,753,025
  5. Step 5: Solve for x
    x = 1,050,737,753,025/483,697
  6. Step 6: Final answer
    x = 2,172,305.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.