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Finding the Third Proportional to 832,021 and 1,796,761

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Solution

The third proportional to 832,021 and 1,796,761 is: 3,880,130.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,021 : 1,796,761 = 1,796,761 : x
  2. Step 2: Convert to fraction form
    832,021/1,796,761 = 1,796,761/x
  3. Step 3: Cross multiply
    832,021x = 1,796,761 × 1,796,761
  4. Step 4: Simplify right side
    832,021x = 3,228,350,091,121
  5. Step 5: Solve for x
    x = 3,228,350,091,121/832,021
  6. Step 6: Final answer
    x = 3,880,130.54

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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.