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Finding the Third Proportional to 950,918 and 1,477,161

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Solution

The third proportional to 950,918 and 1,477,161 is: 2,294,629.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    950,918 : 1,477,161 = 1,477,161 : x
  2. Step 2: Convert to fraction form
    950,918/1,477,161 = 1,477,161/x
  3. Step 3: Cross multiply
    950,918x = 1,477,161 × 1,477,161
  4. Step 4: Simplify right side
    950,918x = 2,182,004,619,921
  5. Step 5: Solve for x
    x = 2,182,004,619,921/950,918
  6. Step 6: Final answer
    x = 2,294,629.63

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.