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Finding the Third Proportional to 465,198 and 1,001,673

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Solution

The third proportional to 465,198 and 1,001,673 is: 2,156,820.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,198 : 1,001,673 = 1,001,673 : x
  2. Step 2: Convert to fraction form
    465,198/1,001,673 = 1,001,673/x
  3. Step 3: Cross multiply
    465,198x = 1,001,673 × 1,001,673
  4. Step 4: Simplify right side
    465,198x = 1,003,348,798,929
  5. Step 5: Solve for x
    x = 1,003,348,798,929/465,198
  6. Step 6: Final answer
    x = 2,156,820.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.