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Finding the Third Proportional to 809,384 and 1,748,448

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Solution

The third proportional to 809,384 and 1,748,448 is: 3,777,033.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,384 : 1,748,448 = 1,748,448 : x
  2. Step 2: Convert to fraction form
    809,384/1,748,448 = 1,748,448/x
  3. Step 3: Cross multiply
    809,384x = 1,748,448 × 1,748,448
  4. Step 4: Simplify right side
    809,384x = 3,057,070,408,704
  5. Step 5: Solve for x
    x = 3,057,070,408,704/809,384
  6. Step 6: Final answer
    x = 3,777,033.41

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.