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Finding the Third Proportional to 631,420 and 965,922

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Solution

The third proportional to 631,420 and 965,922 is: 1,477,630.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,420 : 965,922 = 965,922 : x
  2. Step 2: Convert to fraction form
    631,420/965,922 = 965,922/x
  3. Step 3: Cross multiply
    631,420x = 965,922 × 965,922
  4. Step 4: Simplify right side
    631,420x = 933,005,310,084
  5. Step 5: Solve for x
    x = 933,005,310,084/631,420
  6. Step 6: Final answer
    x = 1,477,630.28

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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.