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Finding the Third Proportional to 952,214 and 1,263,729

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Solution

The third proportional to 952,214 and 1,263,729 is: 1,677,155.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    952,214 : 1,263,729 = 1,263,729 : x
  2. Step 2: Convert to fraction form
    952,214/1,263,729 = 1,263,729/x
  3. Step 3: Cross multiply
    952,214x = 1,263,729 × 1,263,729
  4. Step 4: Simplify right side
    952,214x = 1,597,010,985,441
  5. Step 5: Solve for x
    x = 1,597,010,985,441/952,214
  6. Step 6: Final answer
    x = 1,677,155.54

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.