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Finding the Third Proportional to 458,921.25 and 980,901

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Solution

The third proportional to 458,921.25 and 980,901 is: 2,096,583.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,921.25 : 980,901 = 980,901 : x
  2. Step 2: Convert to fraction form
    458,921.25/980,901 = 980,901/x
  3. Step 3: Cross multiply
    458,921.25x = 980,901 × 980,901
  4. Step 4: Simplify right side
    458,921.25x = 962,166,771,801
  5. Step 5: Solve for x
    x = 962,166,771,801/458,921.25
  6. Step 6: Final answer
    x = 2,096,583.61

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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.