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Finding the Third Proportional to 640,996 and 1,367,802

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Solution

The third proportional to 640,996 and 1,367,802 is: 2,918,711.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,996 : 1,367,802 = 1,367,802 : x
  2. Step 2: Convert to fraction form
    640,996/1,367,802 = 1,367,802/x
  3. Step 3: Cross multiply
    640,996x = 1,367,802 × 1,367,802
  4. Step 4: Simplify right side
    640,996x = 1,870,882,311,204
  5. Step 5: Solve for x
    x = 1,870,882,311,204/640,996
  6. Step 6: Final answer
    x = 2,918,711.37

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.