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Finding the Third Proportional to 458,015 and 978,925

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Solution

The third proportional to 458,015 and 978,925 is: 2,092,276.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,015 : 978,925 = 978,925 : x
  2. Step 2: Convert to fraction form
    458,015/978,925 = 978,925/x
  3. Step 3: Cross multiply
    458,015x = 978,925 × 978,925
  4. Step 4: Simplify right side
    458,015x = 958,294,155,625
  5. Step 5: Solve for x
    x = 958,294,155,625/458,015
  6. Step 6: Final answer
    x = 2,092,276.79

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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.