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Finding the Third Proportional to 479,925.75 and 1,033,011

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Solution

The third proportional to 479,925.75 and 1,033,011 is: 2,223,493.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,925.75 : 1,033,011 = 1,033,011 : x
  2. Step 2: Convert to fraction form
    479,925.75/1,033,011 = 1,033,011/x
  3. Step 3: Cross multiply
    479,925.75x = 1,033,011 × 1,033,011
  4. Step 4: Simplify right side
    479,925.75x = 1,067,111,726,121
  5. Step 5: Solve for x
    x = 1,067,111,726,121/479,925.75
  6. Step 6: Final answer
    x = 2,223,493.38

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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.