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Finding the Third Proportional to 871,832 and 1,333,088

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Solution

The third proportional to 871,832 and 1,333,088 is: 2,038,378.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,832 : 1,333,088 = 1,333,088 : x
  2. Step 2: Convert to fraction form
    871,832/1,333,088 = 1,333,088/x
  3. Step 3: Cross multiply
    871,832x = 1,333,088 × 1,333,088
  4. Step 4: Simplify right side
    871,832x = 1,777,123,615,744
  5. Step 5: Solve for x
    x = 1,777,123,615,744/871,832
  6. Step 6: Final answer
    x = 2,038,378.51

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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.