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Finding the Third Proportional to 621,456 and 959,658

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Solution

The third proportional to 621,456 and 959,658 is: 1,481,912.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,456 : 959,658 = 959,658 : x
  2. Step 2: Convert to fraction form
    621,456/959,658 = 959,658/x
  3. Step 3: Cross multiply
    621,456x = 959,658 × 959,658
  4. Step 4: Simplify right side
    621,456x = 920,943,476,964
  5. Step 5: Solve for x
    x = 920,943,476,964/621,456
  6. Step 6: Final answer
    x = 1,481,912.60

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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.