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Finding the Third Proportional to 360,014 and 848,756

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Solution

The third proportional to 360,014 and 848,756 is: 2,000,996.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,014 : 848,756 = 848,756 : x
  2. Step 2: Convert to fraction form
    360,014/848,756 = 848,756/x
  3. Step 3: Cross multiply
    360,014x = 848,756 × 848,756
  4. Step 4: Simplify right side
    360,014x = 720,386,747,536
  5. Step 5: Solve for x
    x = 720,386,747,536/360,014
  6. Step 6: Final answer
    x = 2,000,996.48

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.