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Finding the Third Proportional to 450,765 and 951,831

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Solution

The third proportional to 450,765 and 951,831 is: 2,009,877.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,765 : 951,831 = 951,831 : x
  2. Step 2: Convert to fraction form
    450,765/951,831 = 951,831/x
  3. Step 3: Cross multiply
    450,765x = 951,831 × 951,831
  4. Step 4: Simplify right side
    450,765x = 905,982,252,561
  5. Step 5: Solve for x
    x = 905,982,252,561/450,765
  6. Step 6: Final answer
    x = 2,009,877.10

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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.