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Finding the Third Proportional to 2,190,443 and 4,801,234.25

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Solution

The third proportional to 2,190,443 and 4,801,234.25 is: 10,523,830.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190,443 : 4,801,234.25 = 4,801,234.25 : x
  2. Step 2: Convert to fraction form
    2,190,443/4,801,234.25 = 4,801,234.25/x
  3. Step 3: Cross multiply
    2,190,443x = 4,801,234.25 × 4,801,234.25
  4. Step 4: Simplify right side
    2,190,443x = 23,051,850,323,373.06
  5. Step 5: Solve for x
    x = 23,051,850,323,373.06/2,190,443
  6. Step 6: Final answer
    x = 10,523,830.26

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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.