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Finding the Third Proportional to 481,805 and 1,001,841

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Solution

The third proportional to 481,805 and 1,001,841 is: 2,083,177.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,805 : 1,001,841 = 1,001,841 : x
  2. Step 2: Convert to fraction form
    481,805/1,001,841 = 1,001,841/x
  3. Step 3: Cross multiply
    481,805x = 1,001,841 × 1,001,841
  4. Step 4: Simplify right side
    481,805x = 1,003,685,389,281
  5. Step 5: Solve for x
    x = 1,003,685,389,281/481,805
  6. Step 6: Final answer
    x = 2,083,177.61

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.