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Finding the Third Proportional to 483,414.38 and 1,036,776.75

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Solution

The third proportional to 483,414.38 and 1,036,776.75 is: 2,223,570.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,414.38 : 1,036,776.75 = 1,036,776.75 : x
  2. Step 2: Convert to fraction form
    483,414.38/1,036,776.75 = 1,036,776.75/x
  3. Step 3: Cross multiply
    483,414.38x = 1,036,776.75 × 1,036,776.75
  4. Step 4: Simplify right side
    483,414.38x = 1,074,906,029,340.56
  5. Step 5: Solve for x
    x = 1,074,906,029,340.56/483,414.38
  6. Step 6: Final answer
    x = 2,223,570.68

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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.