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Finding the Third Proportional to 2,396,658 and 5,216,532

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Solution

The third proportional to 2,396,658 and 5,216,532 is: 11,354,229.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,396,658 : 5,216,532 = 5,216,532 : x
  2. Step 2: Convert to fraction form
    2,396,658/5,216,532 = 5,216,532/x
  3. Step 3: Cross multiply
    2,396,658x = 5,216,532 × 5,216,532
  4. Step 4: Simplify right side
    2,396,658x = 27,212,206,107,024
  5. Step 5: Solve for x
    x = 27,212,206,107,024/2,396,658
  6. Step 6: Final answer
    x = 11,354,229.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.