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Finding the Third Proportional to 833,997 and 1,797,690

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Solution

The third proportional to 833,997 and 1,797,690 is: 3,874,941.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    833,997 : 1,797,690 = 1,797,690 : x
  2. Step 2: Convert to fraction form
    833,997/1,797,690 = 1,797,690/x
  3. Step 3: Cross multiply
    833,997x = 1,797,690 × 1,797,690
  4. Step 4: Simplify right side
    833,997x = 3,231,689,336,100
  5. Step 5: Solve for x
    x = 3,231,689,336,100/833,997
  6. Step 6: Final answer
    x = 3,874,941.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.