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Finding the Third Proportional to 472,934 and 1,015,852

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Solution

The third proportional to 472,934 and 1,015,852 is: 2,182,028.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,934 : 1,015,852 = 1,015,852 : x
  2. Step 2: Convert to fraction form
    472,934/1,015,852 = 1,015,852/x
  3. Step 3: Cross multiply
    472,934x = 1,015,852 × 1,015,852
  4. Step 4: Simplify right side
    472,934x = 1,031,955,285,904
  5. Step 5: Solve for x
    x = 1,031,955,285,904/472,934
  6. Step 6: Final answer
    x = 2,182,028.12

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.