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Finding the Third Proportional to 621,453 and 959,653

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Solution

The third proportional to 621,453 and 959,653 is: 1,481,904.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,453 : 959,653 = 959,653 : x
  2. Step 2: Convert to fraction form
    621,453/959,653 = 959,653/x
  3. Step 3: Cross multiply
    621,453x = 959,653 × 959,653
  4. Step 4: Simplify right side
    621,453x = 920,933,880,409
  5. Step 5: Solve for x
    x = 920,933,880,409/621,453
  6. Step 6: Final answer
    x = 1,481,904.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.