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Finding the Third Proportional to 901,144 and 1,259,856

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Solution

The third proportional to 901,144 and 1,259,856 is: 1,761,357.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    901,144 : 1,259,856 = 1,259,856 : x
  2. Step 2: Convert to fraction form
    901,144/1,259,856 = 1,259,856/x
  3. Step 3: Cross multiply
    901,144x = 1,259,856 × 1,259,856
  4. Step 4: Simplify right side
    901,144x = 1,587,237,140,736
  5. Step 5: Solve for x
    x = 1,587,237,140,736/901,144
  6. Step 6: Final answer
    x = 1,761,357.94

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.