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Finding the Third Proportional to 467,571 and 1,009,749

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Solution

The third proportional to 467,571 and 1,009,749 is: 2,180,616.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,571 : 1,009,749 = 1,009,749 : x
  2. Step 2: Convert to fraction form
    467,571/1,009,749 = 1,009,749/x
  3. Step 3: Cross multiply
    467,571x = 1,009,749 × 1,009,749
  4. Step 4: Simplify right side
    467,571x = 1,019,593,043,001
  5. Step 5: Solve for x
    x = 1,019,593,043,001/467,571
  6. Step 6: Final answer
    x = 2,180,616.51

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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.