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Finding the Third Proportional to 809,381 and 1,748,443

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Solution

The third proportional to 809,381 and 1,748,443 is: 3,777,025.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,381 : 1,748,443 = 1,748,443 : x
  2. Step 2: Convert to fraction form
    809,381/1,748,443 = 1,748,443/x
  3. Step 3: Cross multiply
    809,381x = 1,748,443 × 1,748,443
  4. Step 4: Simplify right side
    809,381x = 3,057,052,924,249
  5. Step 5: Solve for x
    x = 3,057,052,924,249/809,381
  6. Step 6: Final answer
    x = 3,777,025.81

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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.