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Finding the Third Proportional to 628,624 and 1,356,824

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Solution

The third proportional to 628,624 and 1,356,824 is: 2,928,573.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,624 : 1,356,824 = 1,356,824 : x
  2. Step 2: Convert to fraction form
    628,624/1,356,824 = 1,356,824/x
  3. Step 3: Cross multiply
    628,624x = 1,356,824 × 1,356,824
  4. Step 4: Simplify right side
    628,624x = 1,840,971,366,976
  5. Step 5: Solve for x
    x = 1,840,971,366,976/628,624
  6. Step 6: Final answer
    x = 2,928,573.15

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.