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Finding the Third Proportional to 871,296 and 1,332,576

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Solution

The third proportional to 871,296 and 1,332,576 is: 2,038,066.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,296 : 1,332,576 = 1,332,576 : x
  2. Step 2: Convert to fraction form
    871,296/1,332,576 = 1,332,576/x
  3. Step 3: Cross multiply
    871,296x = 1,332,576 × 1,332,576
  4. Step 4: Simplify right side
    871,296x = 1,775,758,795,776
  5. Step 5: Solve for x
    x = 1,775,758,795,776/871,296
  6. Step 6: Final answer
    x = 2,038,066.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.