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Finding the Third Proportional to 768,800 and 1,651,270

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Solution

The third proportional to 768,800 and 1,651,270 is: 3,546,686.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,800 : 1,651,270 = 1,651,270 : x
  2. Step 2: Convert to fraction form
    768,800/1,651,270 = 1,651,270/x
  3. Step 3: Cross multiply
    768,800x = 1,651,270 × 1,651,270
  4. Step 4: Simplify right side
    768,800x = 2,726,692,612,900
  5. Step 5: Solve for x
    x = 2,726,692,612,900/768,800
  6. Step 6: Final answer
    x = 3,546,686.54

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.