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Finding the Third Proportional to 950,408 and 1,256,268

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Solution

The third proportional to 950,408 and 1,256,268 is: 1,660,559.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    950,408 : 1,256,268 = 1,256,268 : x
  2. Step 2: Convert to fraction form
    950,408/1,256,268 = 1,256,268/x
  3. Step 3: Cross multiply
    950,408x = 1,256,268 × 1,256,268
  4. Step 4: Simplify right side
    950,408x = 1,578,209,287,824
  5. Step 5: Solve for x
    x = 1,578,209,287,824/950,408
  6. Step 6: Final answer
    x = 1,660,559.77

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.