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Finding the Third Proportional to 727,503 and 1,101,315

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Solution

The third proportional to 727,503 and 1,101,315 is: 1,667,202.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,503 : 1,101,315 = 1,101,315 : x
  2. Step 2: Convert to fraction form
    727,503/1,101,315 = 1,101,315/x
  3. Step 3: Cross multiply
    727,503x = 1,101,315 × 1,101,315
  4. Step 4: Simplify right side
    727,503x = 1,212,894,729,225
  5. Step 5: Solve for x
    x = 1,212,894,729,225/727,503
  6. Step 6: Final answer
    x = 1,667,202.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.