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Finding the Third Proportional to 635,698 and 1,323,668

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Solution

The third proportional to 635,698 and 1,323,668 is: 2,756,178.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,698 : 1,323,668 = 1,323,668 : x
  2. Step 2: Convert to fraction form
    635,698/1,323,668 = 1,323,668/x
  3. Step 3: Cross multiply
    635,698x = 1,323,668 × 1,323,668
  4. Step 4: Simplify right side
    635,698x = 1,752,096,974,224
  5. Step 5: Solve for x
    x = 1,752,096,974,224/635,698
  6. Step 6: Final answer
    x = 2,756,178.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.