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Finding the Third Proportional to 525,885 and 1,151,277

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Solution

The third proportional to 525,885 and 1,151,277 is: 2,520,396.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,885 : 1,151,277 = 1,151,277 : x
  2. Step 2: Convert to fraction form
    525,885/1,151,277 = 1,151,277/x
  3. Step 3: Cross multiply
    525,885x = 1,151,277 × 1,151,277
  4. Step 4: Simplify right side
    525,885x = 1,325,438,730,729
  5. Step 5: Solve for x
    x = 1,325,438,730,729/525,885
  6. Step 6: Final answer
    x = 2,520,396.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.