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Finding the Third Proportional to 570,658 and 1,204,980

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Solution

The third proportional to 570,658 and 1,204,980 is: 2,544,390.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,658 : 1,204,980 = 1,204,980 : x
  2. Step 2: Convert to fraction form
    570,658/1,204,980 = 1,204,980/x
  3. Step 3: Cross multiply
    570,658x = 1,204,980 × 1,204,980
  4. Step 4: Simplify right side
    570,658x = 1,451,976,800,400
  5. Step 5: Solve for x
    x = 1,451,976,800,400/570,658
  6. Step 6: Final answer
    x = 2,544,390.51

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.