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Finding the Third Proportional to 450,450 and 979,306

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Solution

The third proportional to 450,450 and 979,306 is: 2,129,071.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,450 : 979,306 = 979,306 : x
  2. Step 2: Convert to fraction form
    450,450/979,306 = 979,306/x
  3. Step 3: Cross multiply
    450,450x = 979,306 × 979,306
  4. Step 4: Simplify right side
    450,450x = 959,040,241,636
  5. Step 5: Solve for x
    x = 959,040,241,636/450,450
  6. Step 6: Final answer
    x = 2,129,071.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.