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Finding the Third Proportional to 591,268 and 913,144

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Solution

The third proportional to 591,268 and 913,144 is: 1,410,243.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,268 : 913,144 = 913,144 : x
  2. Step 2: Convert to fraction form
    591,268/913,144 = 913,144/x
  3. Step 3: Cross multiply
    591,268x = 913,144 × 913,144
  4. Step 4: Simplify right side
    591,268x = 833,831,964,736
  5. Step 5: Solve for x
    x = 833,831,964,736/591,268
  6. Step 6: Final answer
    x = 1,410,243.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.