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Finding the Third Proportional to 2,462,823 and 5,389,524

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Solution

The third proportional to 2,462,823 and 5,389,524 is: 11,794,176.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462,823 : 5,389,524 = 5,389,524 : x
  2. Step 2: Convert to fraction form
    2,462,823/5,389,524 = 5,389,524/x
  3. Step 3: Cross multiply
    2,462,823x = 5,389,524 × 5,389,524
  4. Step 4: Simplify right side
    2,462,823x = 29,046,968,946,576
  5. Step 5: Solve for x
    x = 29,046,968,946,576/2,462,823
  6. Step 6: Final answer
    x = 11,794,176.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.