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Finding the Third Proportional to 584,450 and 1,244,212

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Solution

The third proportional to 584,450 and 1,244,212 is: 2,648,752.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,450 : 1,244,212 = 1,244,212 : x
  2. Step 2: Convert to fraction form
    584,450/1,244,212 = 1,244,212/x
  3. Step 3: Cross multiply
    584,450x = 1,244,212 × 1,244,212
  4. Step 4: Simplify right side
    584,450x = 1,548,063,500,944
  5. Step 5: Solve for x
    x = 1,548,063,500,944/584,450
  6. Step 6: Final answer
    x = 2,648,752.68

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