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Finding the Third Proportional to 469,472 and 978,652

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Solution

The third proportional to 469,472 and 978,652 is: 2,040,078.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,472 : 978,652 = 978,652 : x
  2. Step 2: Convert to fraction form
    469,472/978,652 = 978,652/x
  3. Step 3: Cross multiply
    469,472x = 978,652 × 978,652
  4. Step 4: Simplify right side
    469,472x = 957,759,737,104
  5. Step 5: Solve for x
    x = 957,759,737,104/469,472
  6. Step 6: Final answer
    x = 2,040,078.51

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.