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Finding the Third Proportional to 1,623,517 and 3,523,689

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Solution

The third proportional to 1,623,517 and 3,523,689 is: 7,647,831.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,623,517 : 3,523,689 = 3,523,689 : x
  2. Step 2: Convert to fraction form
    1,623,517/3,523,689 = 3,523,689/x
  3. Step 3: Cross multiply
    1,623,517x = 3,523,689 × 3,523,689
  4. Step 4: Simplify right side
    1,623,517x = 12,416,384,168,721
  5. Step 5: Solve for x
    x = 12,416,384,168,721/1,623,517
  6. Step 6: Final answer
    x = 7,647,831.32

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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.