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Finding the Third Proportional to 871,591.50 and 1,883,232.75

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Solution

The third proportional to 871,591.50 and 1,883,232.75 is: 4,069,068.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,591.50 : 1,883,232.75 = 1,883,232.75 : x
  2. Step 2: Convert to fraction form
    871,591.50/1,883,232.75 = 1,883,232.75/x
  3. Step 3: Cross multiply
    871,591.50x = 1,883,232.75 × 1,883,232.75
  4. Step 4: Simplify right side
    871,591.50x = 3,546,565,590,672.56
  5. Step 5: Solve for x
    x = 3,546,565,590,672.56/871,591.50
  6. Step 6: Final answer
    x = 4,069,068.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.