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Finding the Third Proportional to 2,021,928 and 4,328,163

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Solution

The third proportional to 2,021,928 and 4,328,163 is: 9,264,916.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021,928 : 4,328,163 = 4,328,163 : x
  2. Step 2: Convert to fraction form
    2,021,928/4,328,163 = 4,328,163/x
  3. Step 3: Cross multiply
    2,021,928x = 4,328,163 × 4,328,163
  4. Step 4: Simplify right side
    2,021,928x = 18,732,994,954,569
  5. Step 5: Solve for x
    x = 18,732,994,954,569/2,021,928
  6. Step 6: Final answer
    x = 9,264,916.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.