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Finding the Third Proportional to 458,836.31 and 984,101.06

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Solution

The third proportional to 458,836.31 and 984,101.06 is: 2,110,676.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,836.31 : 984,101.06 = 984,101.06 : x
  2. Step 2: Convert to fraction form
    458,836.31/984,101.06 = 984,101.06/x
  3. Step 3: Cross multiply
    458,836.31x = 984,101.06 × 984,101.06
  4. Step 4: Simplify right side
    458,836.31x = 968,454,901,213.63
  5. Step 5: Solve for x
    x = 968,454,901,213.63/458,836.31
  6. Step 6: Final answer
    x = 2,110,676.24

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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.