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Finding the Third Proportional to 883,055 and 1,965,964

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Solution

The third proportional to 883,055 and 1,965,964 is: 4,376,867.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    883,055 : 1,965,964 = 1,965,964 : x
  2. Step 2: Convert to fraction form
    883,055/1,965,964 = 1,965,964/x
  3. Step 3: Cross multiply
    883,055x = 1,965,964 × 1,965,964
  4. Step 4: Simplify right side
    883,055x = 3,865,014,449,296
  5. Step 5: Solve for x
    x = 3,865,014,449,296/883,055
  6. Step 6: Final answer
    x = 4,376,867.18

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.