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Finding the Third Proportional to 473,933 and 1,043,932

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Solution

The third proportional to 473,933 and 1,043,932 is: 2,299,468.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,933 : 1,043,932 = 1,043,932 : x
  2. Step 2: Convert to fraction form
    473,933/1,043,932 = 1,043,932/x
  3. Step 3: Cross multiply
    473,933x = 1,043,932 × 1,043,932
  4. Step 4: Simplify right side
    473,933x = 1,089,794,020,624
  5. Step 5: Solve for x
    x = 1,089,794,020,624/473,933
  6. Step 6: Final answer
    x = 2,299,468.53

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.