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Finding the Third Proportional to 652,450 and 1,433,204

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Solution

The third proportional to 652,450 and 1,433,204 is: 3,148,246.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,450 : 1,433,204 = 1,433,204 : x
  2. Step 2: Convert to fraction form
    652,450/1,433,204 = 1,433,204/x
  3. Step 3: Cross multiply
    652,450x = 1,433,204 × 1,433,204
  4. Step 4: Simplify right side
    652,450x = 2,054,073,705,616
  5. Step 5: Solve for x
    x = 2,054,073,705,616/652,450
  6. Step 6: Final answer
    x = 3,148,246.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.