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Finding the Third Proportional to 4,823,000 and 7,461,204

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Solution

The third proportional to 4,823,000 and 7,461,204 is: 11,542,518.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,823,000 : 7,461,204 = 7,461,204 : x
  2. Step 2: Convert to fraction form
    4,823,000/7,461,204 = 7,461,204/x
  3. Step 3: Cross multiply
    4,823,000x = 7,461,204 × 7,461,204
  4. Step 4: Simplify right side
    4,823,000x = 55,669,565,129,616
  5. Step 5: Solve for x
    x = 55,669,565,129,616/4,823,000
  6. Step 6: Final answer
    x = 11,542,518.17

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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.