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Finding the Third Proportional to 787,234 and 1,253,255

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Solution

The third proportional to 787,234 and 1,253,255 is: 1,995,147.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,234 : 1,253,255 = 1,253,255 : x
  2. Step 2: Convert to fraction form
    787,234/1,253,255 = 1,253,255/x
  3. Step 3: Cross multiply
    787,234x = 1,253,255 × 1,253,255
  4. Step 4: Simplify right side
    787,234x = 1,570,648,095,025
  5. Step 5: Solve for x
    x = 1,570,648,095,025/787,234
  6. Step 6: Final answer
    x = 1,995,147.69

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.