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Finding the Third Proportional to 467,355 and 1,016,721

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Solution

The third proportional to 467,355 and 1,016,721 is: 2,211,855.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,355 : 1,016,721 = 1,016,721 : x
  2. Step 2: Convert to fraction form
    467,355/1,016,721 = 1,016,721/x
  3. Step 3: Cross multiply
    467,355x = 1,016,721 × 1,016,721
  4. Step 4: Simplify right side
    467,355x = 1,033,721,591,841
  5. Step 5: Solve for x
    x = 1,033,721,591,841/467,355
  6. Step 6: Final answer
    x = 2,211,855.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.