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Finding the Third Proportional to 579,584 and 1,228,936

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Solution

The third proportional to 579,584 and 1,228,936 is: 2,605,806.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,584 : 1,228,936 = 1,228,936 : x
  2. Step 2: Convert to fraction form
    579,584/1,228,936 = 1,228,936/x
  3. Step 3: Cross multiply
    579,584x = 1,228,936 × 1,228,936
  4. Step 4: Simplify right side
    579,584x = 1,510,283,692,096
  5. Step 5: Solve for x
    x = 1,510,283,692,096/579,584
  6. Step 6: Final answer
    x = 2,605,806.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.