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Finding the Third Proportional to 450,783 and 951,867

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Solution

The third proportional to 450,783 and 951,867 is: 2,009,948.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,783 : 951,867 = 951,867 : x
  2. Step 2: Convert to fraction form
    450,783/951,867 = 951,867/x
  3. Step 3: Cross multiply
    450,783x = 951,867 × 951,867
  4. Step 4: Simplify right side
    450,783x = 906,050,785,689
  5. Step 5: Solve for x
    x = 906,050,785,689/450,783
  6. Step 6: Final answer
    x = 2,009,948.88

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.