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Finding the Third Proportional to 833,996 and 1,797,688

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Solution

The third proportional to 833,996 and 1,797,688 is: 3,874,937.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    833,996 : 1,797,688 = 1,797,688 : x
  2. Step 2: Convert to fraction form
    833,996/1,797,688 = 1,797,688/x
  3. Step 3: Cross multiply
    833,996x = 1,797,688 × 1,797,688
  4. Step 4: Simplify right side
    833,996x = 3,231,682,145,344
  5. Step 5: Solve for x
    x = 3,231,682,145,344/833,996
  6. Step 6: Final answer
    x = 3,874,937.22

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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.