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Finding the Third Proportional to 767,538 and 1,151,397

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Solution

The third proportional to 767,538 and 1,151,397 is: 1,727,230.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,538 : 1,151,397 = 1,151,397 : x
  2. Step 2: Convert to fraction form
    767,538/1,151,397 = 1,151,397/x
  3. Step 3: Cross multiply
    767,538x = 1,151,397 × 1,151,397
  4. Step 4: Simplify right side
    767,538x = 1,325,715,051,609
  5. Step 5: Solve for x
    x = 1,325,715,051,609/767,538
  6. Step 6: Final answer
    x = 1,727,230.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.