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Finding the Third Proportional to 470,228 and 1,109,844

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Solution

The third proportional to 470,228 and 1,109,844 is: 2,619,481.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,228 : 1,109,844 = 1,109,844 : x
  2. Step 2: Convert to fraction form
    470,228/1,109,844 = 1,109,844/x
  3. Step 3: Cross multiply
    470,228x = 1,109,844 × 1,109,844
  4. Step 4: Simplify right side
    470,228x = 1,231,753,704,336
  5. Step 5: Solve for x
    x = 1,231,753,704,336/470,228
  6. Step 6: Final answer
    x = 2,619,481.84

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.