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Finding the Third Proportional to 5,985,200 and 9,286,561

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Solution

The third proportional to 5,985,200 and 9,286,561 is: 14,408,911.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,985,200 : 9,286,561 = 9,286,561 : x
  2. Step 2: Convert to fraction form
    5,985,200/9,286,561 = 9,286,561/x
  3. Step 3: Cross multiply
    5,985,200x = 9,286,561 × 9,286,561
  4. Step 4: Simplify right side
    5,985,200x = 86,240,215,206,721
  5. Step 5: Solve for x
    x = 86,240,215,206,721/5,985,200
  6. Step 6: Final answer
    x = 14,408,911.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.