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Finding the Third Proportional to 483,419 and 1,036,785

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Solution

The third proportional to 483,419 and 1,036,785 is: 2,223,584.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,419 : 1,036,785 = 1,036,785 : x
  2. Step 2: Convert to fraction form
    483,419/1,036,785 = 1,036,785/x
  3. Step 3: Cross multiply
    483,419x = 1,036,785 × 1,036,785
  4. Step 4: Simplify right side
    483,419x = 1,074,923,136,225
  5. Step 5: Solve for x
    x = 1,074,923,136,225/483,419
  6. Step 6: Final answer
    x = 2,223,584.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.