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Finding the Third Proportional to 3,569,786 and 5,205,126

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Solution

The third proportional to 3,569,786 and 5,205,126 is: 7,589,624.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,569,786 : 5,205,126 = 5,205,126 : x
  2. Step 2: Convert to fraction form
    3,569,786/5,205,126 = 5,205,126/x
  3. Step 3: Cross multiply
    3,569,786x = 5,205,126 × 5,205,126
  4. Step 4: Simplify right side
    3,569,786x = 27,093,336,675,876
  5. Step 5: Solve for x
    x = 27,093,336,675,876/3,569,786
  6. Step 6: Final answer
    x = 7,589,624.89

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.