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Finding the Third Proportional to 458,901 and 984,231

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Solution

The third proportional to 458,901 and 984,231 is: 2,110,936.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,901 : 984,231 = 984,231 : x
  2. Step 2: Convert to fraction form
    458,901/984,231 = 984,231/x
  3. Step 3: Cross multiply
    458,901x = 984,231 × 984,231
  4. Step 4: Simplify right side
    458,901x = 968,710,661,361
  5. Step 5: Solve for x
    x = 968,710,661,361/458,901
  6. Step 6: Final answer
    x = 2,110,936.04

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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.