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Finding the Third Proportional to 470,220 and 1,109,828

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Solution

The third proportional to 470,220 and 1,109,828 is: 2,619,450.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,220 : 1,109,828 = 1,109,828 : x
  2. Step 2: Convert to fraction form
    470,220/1,109,828 = 1,109,828/x
  3. Step 3: Cross multiply
    470,220x = 1,109,828 × 1,109,828
  4. Step 4: Simplify right side
    470,220x = 1,231,718,189,584
  5. Step 5: Solve for x
    x = 1,231,718,189,584/470,220
  6. Step 6: Final answer
    x = 2,619,450.87

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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.