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Finding the Third Proportional to 610,617 and 1,305,266

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Solution

The third proportional to 610,617 and 1,305,266 is: 2,790,160.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,617 : 1,305,266 = 1,305,266 : x
  2. Step 2: Convert to fraction form
    610,617/1,305,266 = 1,305,266/x
  3. Step 3: Cross multiply
    610,617x = 1,305,266 × 1,305,266
  4. Step 4: Simplify right side
    610,617x = 1,703,719,330,756
  5. Step 5: Solve for x
    x = 1,703,719,330,756/610,617
  6. Step 6: Final answer
    x = 2,790,160.33

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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.