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Finding the Third Proportional to 458,019 and 978,933

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Solution

The third proportional to 458,019 and 978,933 is: 2,092,292.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,019 : 978,933 = 978,933 : x
  2. Step 2: Convert to fraction form
    458,019/978,933 = 978,933/x
  3. Step 3: Cross multiply
    458,019x = 978,933 × 978,933
  4. Step 4: Simplify right side
    458,019x = 958,309,818,489
  5. Step 5: Solve for x
    x = 958,309,818,489/458,019
  6. Step 6: Final answer
    x = 2,092,292.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.