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Finding the Third Proportional to 2,213,064 and 4,854,672

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Solution

The third proportional to 2,213,064 and 4,854,672 is: 10,649,416.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,213,064 : 4,854,672 = 4,854,672 : x
  2. Step 2: Convert to fraction form
    2,213,064/4,854,672 = 4,854,672/x
  3. Step 3: Cross multiply
    2,213,064x = 4,854,672 × 4,854,672
  4. Step 4: Simplify right side
    2,213,064x = 23,567,840,227,584
  5. Step 5: Solve for x
    x = 23,567,840,227,584/2,213,064
  6. Step 6: Final answer
    x = 10,649,416.48

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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.