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Finding the Third Proportional to 764,530 and 1,214,597

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Solution

The third proportional to 764,530 and 1,214,597 is: 1,929,611.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,530 : 1,214,597 = 1,214,597 : x
  2. Step 2: Convert to fraction form
    764,530/1,214,597 = 1,214,597/x
  3. Step 3: Cross multiply
    764,530x = 1,214,597 × 1,214,597
  4. Step 4: Simplify right side
    764,530x = 1,475,245,872,409
  5. Step 5: Solve for x
    x = 1,475,245,872,409/764,530
  6. Step 6: Final answer
    x = 1,929,611.49

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.