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Finding the Third Proportional to 482,756 and 1,029,616

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Solution

The third proportional to 482,756 and 1,029,616 is: 2,195,952.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,756 : 1,029,616 = 1,029,616 : x
  2. Step 2: Convert to fraction form
    482,756/1,029,616 = 1,029,616/x
  3. Step 3: Cross multiply
    482,756x = 1,029,616 × 1,029,616
  4. Step 4: Simplify right side
    482,756x = 1,060,109,107,456
  5. Step 5: Solve for x
    x = 1,060,109,107,456/482,756
  6. Step 6: Final answer
    x = 2,195,952.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.