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Finding the Third Proportional to 5,906,234 and 9,252,999

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Solution

The third proportional to 5,906,234 and 9,252,999 is: 14,496,206.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906,234 : 9,252,999 = 9,252,999 : x
  2. Step 2: Convert to fraction form
    5,906,234/9,252,999 = 9,252,999/x
  3. Step 3: Cross multiply
    5,906,234x = 9,252,999 × 9,252,999
  4. Step 4: Simplify right side
    5,906,234x = 85,617,990,494,001
  5. Step 5: Solve for x
    x = 85,617,990,494,001/5,906,234
  6. Step 6: Final answer
    x = 14,496,206.97

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.