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Finding the Third Proportional to 871,922 and 1,330,484

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Solution

The third proportional to 871,922 and 1,330,484 is: 2,030,213.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,922 : 1,330,484 = 1,330,484 : x
  2. Step 2: Convert to fraction form
    871,922/1,330,484 = 1,330,484/x
  3. Step 3: Cross multiply
    871,922x = 1,330,484 × 1,330,484
  4. Step 4: Simplify right side
    871,922x = 1,770,187,674,256
  5. Step 5: Solve for x
    x = 1,770,187,674,256/871,922
  6. Step 6: Final answer
    x = 2,030,213.34

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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.