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Finding the Third Proportional to 601,069 and 1,269,206

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Solution

The third proportional to 601,069 and 1,269,206 is: 2,680,031.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,069 : 1,269,206 = 1,269,206 : x
  2. Step 2: Convert to fraction form
    601,069/1,269,206 = 1,269,206/x
  3. Step 3: Cross multiply
    601,069x = 1,269,206 × 1,269,206
  4. Step 4: Simplify right side
    601,069x = 1,610,883,870,436
  5. Step 5: Solve for x
    x = 1,610,883,870,436/601,069
  6. Step 6: Final answer
    x = 2,680,031.53

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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.