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Finding the Third Proportional to 3,206,664 and 4,814,164

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Solution

The third proportional to 3,206,664 and 4,814,164 is: 7,227,503.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206,664 : 4,814,164 = 4,814,164 : x
  2. Step 2: Convert to fraction form
    3,206,664/4,814,164 = 4,814,164/x
  3. Step 3: Cross multiply
    3,206,664x = 4,814,164 × 4,814,164
  4. Step 4: Simplify right side
    3,206,664x = 23,176,175,018,896
  5. Step 5: Solve for x
    x = 23,176,175,018,896/3,206,664
  6. Step 6: Final answer
    x = 7,227,503.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.