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Finding the Third Proportional to 601,073 and 1,269,214

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Solution

The third proportional to 601,073 and 1,269,214 is: 2,680,047.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,073 : 1,269,214 = 1,269,214 : x
  2. Step 2: Convert to fraction form
    601,073/1,269,214 = 1,269,214/x
  3. Step 3: Cross multiply
    601,073x = 1,269,214 × 1,269,214
  4. Step 4: Simplify right side
    601,073x = 1,610,904,177,796
  5. Step 5: Solve for x
    x = 1,610,904,177,796/601,073
  6. Step 6: Final answer
    x = 2,680,047.48

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.