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Finding the Third Proportional to 2,083,498 and 4,224,950

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Solution

The third proportional to 2,083,498 and 4,224,950 is: 8,567,420.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083,498 : 4,224,950 = 4,224,950 : x
  2. Step 2: Convert to fraction form
    2,083,498/4,224,950 = 4,224,950/x
  3. Step 3: Cross multiply
    2,083,498x = 4,224,950 × 4,224,950
  4. Step 4: Simplify right side
    2,083,498x = 17,850,202,502,500
  5. Step 5: Solve for x
    x = 17,850,202,502,500/2,083,498
  6. Step 6: Final answer
    x = 8,567,420.03

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.