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Finding the Third Proportional to 814,112 and 1,245,408

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Solution

The third proportional to 814,112 and 1,245,408 is: 1,905,193.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,112 : 1,245,408 = 1,245,408 : x
  2. Step 2: Convert to fraction form
    814,112/1,245,408 = 1,245,408/x
  3. Step 3: Cross multiply
    814,112x = 1,245,408 × 1,245,408
  4. Step 4: Simplify right side
    814,112x = 1,551,041,086,464
  5. Step 5: Solve for x
    x = 1,551,041,086,464/814,112
  6. Step 6: Final answer
    x = 1,905,193.74

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.