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Finding the Third Proportional to 601,656 and 1,286,256

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Solution

The third proportional to 601,656 and 1,286,256 is: 2,749,834.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,656 : 1,286,256 = 1,286,256 : x
  2. Step 2: Convert to fraction form
    601,656/1,286,256 = 1,286,256/x
  3. Step 3: Cross multiply
    601,656x = 1,286,256 × 1,286,256
  4. Step 4: Simplify right side
    601,656x = 1,654,454,497,536
  5. Step 5: Solve for x
    x = 1,654,454,497,536/601,656
  6. Step 6: Final answer
    x = 2,749,834.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.