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Finding the Third Proportional to 585,726 and 1,187,751

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Solution

The third proportional to 585,726 and 1,187,751 is: 2,408,553.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,726 : 1,187,751 = 1,187,751 : x
  2. Step 2: Convert to fraction form
    585,726/1,187,751 = 1,187,751/x
  3. Step 3: Cross multiply
    585,726x = 1,187,751 × 1,187,751
  4. Step 4: Simplify right side
    585,726x = 1,410,752,438,001
  5. Step 5: Solve for x
    x = 1,410,752,438,001/585,726
  6. Step 6: Final answer
    x = 2,408,553.55

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.