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Finding the Third Proportional to 631,422 and 965,934

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Solution

The third proportional to 631,422 and 965,934 is: 1,477,662.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,422 : 965,934 = 965,934 : x
  2. Step 2: Convert to fraction form
    631,422/965,934 = 965,934/x
  3. Step 3: Cross multiply
    631,422x = 965,934 × 965,934
  4. Step 4: Simplify right side
    631,422x = 933,028,492,356
  5. Step 5: Solve for x
    x = 933,028,492,356/631,422
  6. Step 6: Final answer
    x = 1,477,662.31

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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.