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Finding the Third Proportional to 458,009 and 978,913

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Solution

The third proportional to 458,009 and 978,913 is: 2,092,252.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,009 : 978,913 = 978,913 : x
  2. Step 2: Convert to fraction form
    458,009/978,913 = 978,913/x
  3. Step 3: Cross multiply
    458,009x = 978,913 × 978,913
  4. Step 4: Simplify right side
    458,009x = 958,270,661,569
  5. Step 5: Solve for x
    x = 958,270,661,569/458,009
  6. Step 6: Final answer
    x = 2,092,252.91

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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.