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Finding the Third Proportional to 470,066 and 1,109,446

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Solution

The third proportional to 470,066 and 1,109,446 is: 2,618,505.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,066 : 1,109,446 = 1,109,446 : x
  2. Step 2: Convert to fraction form
    470,066/1,109,446 = 1,109,446/x
  3. Step 3: Cross multiply
    470,066x = 1,109,446 × 1,109,446
  4. Step 4: Simplify right side
    470,066x = 1,230,870,426,916
  5. Step 5: Solve for x
    x = 1,230,870,426,916/470,066
  6. Step 6: Final answer
    x = 2,618,505.54

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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.