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Finding the Third Proportional to 450,634 and 965,236

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Solution

The third proportional to 450,634 and 965,236 is: 2,067,488.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,634 : 965,236 = 965,236 : x
  2. Step 2: Convert to fraction form
    450,634/965,236 = 965,236/x
  3. Step 3: Cross multiply
    450,634x = 965,236 × 965,236
  4. Step 4: Simplify right side
    450,634x = 931,680,535,696
  5. Step 5: Solve for x
    x = 931,680,535,696/450,634
  6. Step 6: Final answer
    x = 2,067,488.33

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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.