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Finding the Third Proportional to 479,896 and 1,049,918

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Solution

The third proportional to 479,896 and 1,049,918 is: 2,297,013.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,896 : 1,049,918 = 1,049,918 : x
  2. Step 2: Convert to fraction form
    479,896/1,049,918 = 1,049,918/x
  3. Step 3: Cross multiply
    479,896x = 1,049,918 × 1,049,918
  4. Step 4: Simplify right side
    479,896x = 1,102,327,806,724
  5. Step 5: Solve for x
    x = 1,102,327,806,724/479,896
  6. Step 6: Final answer
    x = 2,297,013.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.