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Finding the Third Proportional to 458,960 and 994,168

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Solution

The third proportional to 458,960 and 994,168 is: 2,153,499.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,960 : 994,168 = 994,168 : x
  2. Step 2: Convert to fraction form
    458,960/994,168 = 994,168/x
  3. Step 3: Cross multiply
    458,960x = 994,168 × 994,168
  4. Step 4: Simplify right side
    458,960x = 988,370,012,224
  5. Step 5: Solve for x
    x = 988,370,012,224/458,960
  6. Step 6: Final answer
    x = 2,153,499.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.