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Finding the Third Proportional to 3,149,000 and 5,013,108

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Solution

The third proportional to 3,149,000 and 5,013,108 is: 7,980,708.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149,000 : 5,013,108 = 5,013,108 : x
  2. Step 2: Convert to fraction form
    3,149,000/5,013,108 = 5,013,108/x
  3. Step 3: Cross multiply
    3,149,000x = 5,013,108 × 5,013,108
  4. Step 4: Simplify right side
    3,149,000x = 25,131,251,819,664
  5. Step 5: Solve for x
    x = 25,131,251,819,664/3,149,000
  6. Step 6: Final answer
    x = 7,980,708.74

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.