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Finding the Third Proportional to 948,734 and 1,467,443

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Solution

The third proportional to 948,734 and 1,467,443 is: 2,269,749.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    948,734 : 1,467,443 = 1,467,443 : x
  2. Step 2: Convert to fraction form
    948,734/1,467,443 = 1,467,443/x
  3. Step 3: Cross multiply
    948,734x = 1,467,443 × 1,467,443
  4. Step 4: Simplify right side
    948,734x = 2,153,388,958,249
  5. Step 5: Solve for x
    x = 2,153,388,958,249/948,734
  6. Step 6: Final answer
    x = 2,269,749.96

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.