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Finding the Third Proportional to 871,476.75 and 1,188,096.75

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Solution

The third proportional to 871,476.75 and 1,188,096.75 is: 1,619,749.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,476.75 : 1,188,096.75 = 1,188,096.75 : x
  2. Step 2: Convert to fraction form
    871,476.75/1,188,096.75 = 1,188,096.75/x
  3. Step 3: Cross multiply
    871,476.75x = 1,188,096.75 × 1,188,096.75
  4. Step 4: Simplify right side
    871,476.75x = 1,411,573,887,360.56
  5. Step 5: Solve for x
    x = 1,411,573,887,360.56/871,476.75
  6. Step 6: Final answer
    x = 1,619,749.34

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.