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Finding the Third Proportional to 631,416 and 965,916

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Solution

The third proportional to 631,416 and 965,916 is: 1,477,621.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,416 : 965,916 = 965,916 : x
  2. Step 2: Convert to fraction form
    631,416/965,916 = 965,916/x
  3. Step 3: Cross multiply
    631,416x = 965,916 × 965,916
  4. Step 4: Simplify right side
    631,416x = 932,993,719,056
  5. Step 5: Solve for x
    x = 932,993,719,056/631,416
  6. Step 6: Final answer
    x = 1,477,621.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.