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Finding the Third Proportional to 767,532 and 1,151,388

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Solution

The third proportional to 767,532 and 1,151,388 is: 1,727,217.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,532 : 1,151,388 = 1,151,388 : x
  2. Step 2: Convert to fraction form
    767,532/1,151,388 = 1,151,388/x
  3. Step 3: Cross multiply
    767,532x = 1,151,388 × 1,151,388
  4. Step 4: Simplify right side
    767,532x = 1,325,694,326,544
  5. Step 5: Solve for x
    x = 1,325,694,326,544/767,532
  6. Step 6: Final answer
    x = 1,727,217.01

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