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Finding the Third Proportional to 969,607.97 and 1,966,917.94

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Solution

The third proportional to 969,607.97 and 1,966,917.94 is: 3,990,031.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,607.97 : 1,966,917.94 = 1,966,917.94 : x
  2. Step 2: Convert to fraction form
    969,607.97/1,966,917.94 = 1,966,917.94/x
  3. Step 3: Cross multiply
    969,607.97x = 1,966,917.94 × 1,966,917.94
  4. Step 4: Simplify right side
    969,607.97x = 3,868,766,172,859.25
  5. Step 5: Solve for x
    x = 3,868,766,172,859.25/969,607.97
  6. Step 6: Final answer
    x = 3,990,031.33

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.