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Finding the Third Proportional to 450,787 and 951,875

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Solution

The third proportional to 450,787 and 951,875 is: 2,009,964.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,787 : 951,875 = 951,875 : x
  2. Step 2: Convert to fraction form
    450,787/951,875 = 951,875/x
  3. Step 3: Cross multiply
    450,787x = 951,875 × 951,875
  4. Step 4: Simplify right side
    450,787x = 906,066,015,625
  5. Step 5: Solve for x
    x = 906,066,015,625/450,787
  6. Step 6: Final answer
    x = 2,009,964.83

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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.