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Finding the Third Proportional to 629,433 and 943,933

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Solution

The third proportional to 629,433 and 943,933 is: 1,415,574.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,433 : 943,933 = 943,933 : x
  2. Step 2: Convert to fraction form
    629,433/943,933 = 943,933/x
  3. Step 3: Cross multiply
    629,433x = 943,933 × 943,933
  4. Step 4: Simplify right side
    629,433x = 891,009,508,489
  5. Step 5: Solve for x
    x = 891,009,508,489/629,433
  6. Step 6: Final answer
    x = 1,415,574.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.