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Finding the Third Proportional to 852,532 and 1,251,150

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Solution

The third proportional to 852,532 and 1,251,150 is: 1,836,149.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,532 : 1,251,150 = 1,251,150 : x
  2. Step 2: Convert to fraction form
    852,532/1,251,150 = 1,251,150/x
  3. Step 3: Cross multiply
    852,532x = 1,251,150 × 1,251,150
  4. Step 4: Simplify right side
    852,532x = 1,565,376,322,500
  5. Step 5: Solve for x
    x = 1,565,376,322,500/852,532
  6. Step 6: Final answer
    x = 1,836,149.64

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.