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Finding the Third Proportional to 601,066 and 1,269,200

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Solution

The third proportional to 601,066 and 1,269,200 is: 2,680,019.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,066 : 1,269,200 = 1,269,200 : x
  2. Step 2: Convert to fraction form
    601,066/1,269,200 = 1,269,200/x
  3. Step 3: Cross multiply
    601,066x = 1,269,200 × 1,269,200
  4. Step 4: Simplify right side
    601,066x = 1,610,868,640,000
  5. Step 5: Solve for x
    x = 1,610,868,640,000/601,066
  6. Step 6: Final answer
    x = 2,680,019.57

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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.