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Finding the Third Proportional to 458,966 and 981,083

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Solution

The third proportional to 458,966 and 981,083 is: 2,097,157.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,966 : 981,083 = 981,083 : x
  2. Step 2: Convert to fraction form
    458,966/981,083 = 981,083/x
  3. Step 3: Cross multiply
    458,966x = 981,083 × 981,083
  4. Step 4: Simplify right side
    458,966x = 962,523,852,889
  5. Step 5: Solve for x
    x = 962,523,852,889/458,966
  6. Step 6: Final answer
    x = 2,097,157.20

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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.