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Finding the Third Proportional to 2,224,512 and 4,856,778

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Solution

The third proportional to 2,224,512 and 4,856,778 is: 10,603,805.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224,512 : 4,856,778 = 4,856,778 : x
  2. Step 2: Convert to fraction form
    2,224,512/4,856,778 = 4,856,778/x
  3. Step 3: Cross multiply
    2,224,512x = 4,856,778 × 4,856,778
  4. Step 4: Simplify right side
    2,224,512x = 23,588,292,541,284
  5. Step 5: Solve for x
    x = 23,588,292,541,284/2,224,512
  6. Step 6: Final answer
    x = 10,603,805.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.