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Finding the Third Proportional to 2,794,624 and 5,692,016

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Solution

The third proportional to 2,794,624 and 5,692,016 is: 11,593,347.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,794,624 : 5,692,016 = 5,692,016 : x
  2. Step 2: Convert to fraction form
    2,794,624/5,692,016 = 5,692,016/x
  3. Step 3: Cross multiply
    2,794,624x = 5,692,016 × 5,692,016
  4. Step 4: Simplify right side
    2,794,624x = 32,399,046,144,256
  5. Step 5: Solve for x
    x = 32,399,046,144,256/2,794,624
  6. Step 6: Final answer
    x = 11,593,347.14

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.