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Finding the Third Proportional to 871,474 and 1,332,293

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Solution

The third proportional to 871,474 and 1,332,293 is: 2,036,784.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,474 : 1,332,293 = 1,332,293 : x
  2. Step 2: Convert to fraction form
    871,474/1,332,293 = 1,332,293/x
  3. Step 3: Cross multiply
    871,474x = 1,332,293 × 1,332,293
  4. Step 4: Simplify right side
    871,474x = 1,775,004,637,849
  5. Step 5: Solve for x
    x = 1,775,004,637,849/871,474
  6. Step 6: Final answer
    x = 2,036,784.39

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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.