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Finding the Third Proportional to 2,885,868 and 4,569,456

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Solution

The third proportional to 2,885,868 and 4,569,456 is: 7,235,233.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,885,868 : 4,569,456 = 4,569,456 : x
  2. Step 2: Convert to fraction form
    2,885,868/4,569,456 = 4,569,456/x
  3. Step 3: Cross multiply
    2,885,868x = 4,569,456 × 4,569,456
  4. Step 4: Simplify right side
    2,885,868x = 20,879,928,135,936
  5. Step 5: Solve for x
    x = 20,879,928,135,936/2,885,868
  6. Step 6: Final answer
    x = 7,235,233.26

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.