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Finding the Third Proportional to 830,800 and 1,244,812

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Solution

The third proportional to 830,800 and 1,244,812 is: 1,865,138.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,800 : 1,244,812 = 1,244,812 : x
  2. Step 2: Convert to fraction form
    830,800/1,244,812 = 1,244,812/x
  3. Step 3: Cross multiply
    830,800x = 1,244,812 × 1,244,812
  4. Step 4: Simplify right side
    830,800x = 1,549,556,915,344
  5. Step 5: Solve for x
    x = 1,549,556,915,344/830,800
  6. Step 6: Final answer
    x = 1,865,138.32

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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.