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Finding the Third Proportional to 880,014 and 1,321,965

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Solution

The third proportional to 880,014 and 1,321,965 is: 1,985,867.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    880,014 : 1,321,965 = 1,321,965 : x
  2. Step 2: Convert to fraction form
    880,014/1,321,965 = 1,321,965/x
  3. Step 3: Cross multiply
    880,014x = 1,321,965 × 1,321,965
  4. Step 4: Simplify right side
    880,014x = 1,747,591,461,225
  5. Step 5: Solve for x
    x = 1,747,591,461,225/880,014
  6. Step 6: Final answer
    x = 1,985,867.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.