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Finding the Third Proportional to 675,696 and 1,469,001

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Solution

The third proportional to 675,696 and 1,469,001 is: 3,193,690.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,696 : 1,469,001 = 1,469,001 : x
  2. Step 2: Convert to fraction form
    675,696/1,469,001 = 1,469,001/x
  3. Step 3: Cross multiply
    675,696x = 1,469,001 × 1,469,001
  4. Step 4: Simplify right side
    675,696x = 2,157,963,938,001
  5. Step 5: Solve for x
    x = 2,157,963,938,001/675,696
  6. Step 6: Final answer
    x = 3,193,690.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.