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Finding the Third Proportional to 458,006 and 978,907

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Solution

The third proportional to 458,006 and 978,907 is: 2,092,240.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,006 : 978,907 = 978,907 : x
  2. Step 2: Convert to fraction form
    458,006/978,907 = 978,907/x
  3. Step 3: Cross multiply
    458,006x = 978,907 × 978,907
  4. Step 4: Simplify right side
    458,006x = 958,258,914,649
  5. Step 5: Solve for x
    x = 958,258,914,649/458,006
  6. Step 6: Final answer
    x = 2,092,240.96

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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.