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Finding the Third Proportional to 1,126,512 and 2,346,214

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Solution

The third proportional to 1,126,512 and 2,346,214 is: 4,886,517.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126,512 : 2,346,214 = 2,346,214 : x
  2. Step 2: Convert to fraction form
    1,126,512/2,346,214 = 2,346,214/x
  3. Step 3: Cross multiply
    1,126,512x = 2,346,214 × 2,346,214
  4. Step 4: Simplify right side
    1,126,512x = 5,504,720,133,796
  5. Step 5: Solve for x
    x = 5,504,720,133,796/1,126,512
  6. Step 6: Final answer
    x = 4,886,517.08

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.