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Finding the Third Proportional to 681,780 and 1,483,272

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Solution

The third proportional to 681,780 and 1,483,272 is: 3,226,987.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,780 : 1,483,272 = 1,483,272 : x
  2. Step 2: Convert to fraction form
    681,780/1,483,272 = 1,483,272/x
  3. Step 3: Cross multiply
    681,780x = 1,483,272 × 1,483,272
  4. Step 4: Simplify right side
    681,780x = 2,200,095,825,984
  5. Step 5: Solve for x
    x = 2,200,095,825,984/681,780
  6. Step 6: Final answer
    x = 3,226,987.92

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.