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Finding the Third Proportional to 458,816 and 984,080

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Solution

The third proportional to 458,816 and 984,080 is: 2,110,679.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,816 : 984,080 = 984,080 : x
  2. Step 2: Convert to fraction form
    458,816/984,080 = 984,080/x
  3. Step 3: Cross multiply
    458,816x = 984,080 × 984,080
  4. Step 4: Simplify right side
    458,816x = 968,413,446,400
  5. Step 5: Solve for x
    x = 968,413,446,400/458,816
  6. Step 6: Final answer
    x = 2,110,679.33

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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.