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Finding the Third Proportional to 447,045 and 871,611

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Solution

The third proportional to 447,045 and 871,611 is: 1,699,394.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,045 : 871,611 = 871,611 : x
  2. Step 2: Convert to fraction form
    447,045/871,611 = 871,611/x
  3. Step 3: Cross multiply
    447,045x = 871,611 × 871,611
  4. Step 4: Simplify right side
    447,045x = 759,705,735,321
  5. Step 5: Solve for x
    x = 759,705,735,321/447,045
  6. Step 6: Final answer
    x = 1,699,394.32

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.