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Finding the Third Proportional to 479,738 and 1,034,212

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Solution

The third proportional to 479,738 and 1,034,212 is: 2,229,538.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,738 : 1,034,212 = 1,034,212 : x
  2. Step 2: Convert to fraction form
    479,738/1,034,212 = 1,034,212/x
  3. Step 3: Cross multiply
    479,738x = 1,034,212 × 1,034,212
  4. Step 4: Simplify right side
    479,738x = 1,069,594,460,944
  5. Step 5: Solve for x
    x = 1,069,594,460,944/479,738
  6. Step 6: Final answer
    x = 2,229,538.75

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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.