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Finding the Third Proportional to 664,217 and 1,422,925

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Solution

The third proportional to 664,217 and 1,422,925 is: 3,048,274.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,217 : 1,422,925 = 1,422,925 : x
  2. Step 2: Convert to fraction form
    664,217/1,422,925 = 1,422,925/x
  3. Step 3: Cross multiply
    664,217x = 1,422,925 × 1,422,925
  4. Step 4: Simplify right side
    664,217x = 2,024,715,555,625
  5. Step 5: Solve for x
    x = 2,024,715,555,625/664,217
  6. Step 6: Final answer
    x = 3,048,274.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.