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Finding the Third Proportional to 479,813 and 1,033,438

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Solution

The third proportional to 479,813 and 1,033,438 is: 2,225,854.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,813 : 1,033,438 = 1,033,438 : x
  2. Step 2: Convert to fraction form
    479,813/1,033,438 = 1,033,438/x
  3. Step 3: Cross multiply
    479,813x = 1,033,438 × 1,033,438
  4. Step 4: Simplify right side
    479,813x = 1,067,994,099,844
  5. Step 5: Solve for x
    x = 1,067,994,099,844/479,813
  6. Step 6: Final answer
    x = 2,225,854.86

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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.