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Finding the Third Proportional to 483,780 and 1,031,721

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Solution

The third proportional to 483,780 and 1,031,721 is: 2,200,273.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,780 : 1,031,721 = 1,031,721 : x
  2. Step 2: Convert to fraction form
    483,780/1,031,721 = 1,031,721/x
  3. Step 3: Cross multiply
    483,780x = 1,031,721 × 1,031,721
  4. Step 4: Simplify right side
    483,780x = 1,064,448,221,841
  5. Step 5: Solve for x
    x = 1,064,448,221,841/483,780
  6. Step 6: Final answer
    x = 2,200,273.31

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.