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Finding the Third Proportional to 631,932 and 969,015

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Solution

The third proportional to 631,932 and 969,015 is: 1,485,903.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,932 : 969,015 = 969,015 : x
  2. Step 2: Convert to fraction form
    631,932/969,015 = 969,015/x
  3. Step 3: Cross multiply
    631,932x = 969,015 × 969,015
  4. Step 4: Simplify right side
    631,932x = 938,990,070,225
  5. Step 5: Solve for x
    x = 938,990,070,225/631,932
  6. Step 6: Final answer
    x = 1,485,903.66

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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.