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Finding the Third Proportional to 479,824 and 1,033,376

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Solution

The third proportional to 479,824 and 1,033,376 is: 2,225,536.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,824 : 1,033,376 = 1,033,376 : x
  2. Step 2: Convert to fraction form
    479,824/1,033,376 = 1,033,376/x
  3. Step 3: Cross multiply
    479,824x = 1,033,376 × 1,033,376
  4. Step 4: Simplify right side
    479,824x = 1,067,865,957,376
  5. Step 5: Solve for x
    x = 1,067,865,957,376/479,824
  6. Step 6: Final answer
    x = 2,225,536.77

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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.