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Finding the Third Proportional to 467,629 and 1,013,954

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Solution

The third proportional to 467,629 and 1,013,954 is: 2,198,543.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,629 : 1,013,954 = 1,013,954 : x
  2. Step 2: Convert to fraction form
    467,629/1,013,954 = 1,013,954/x
  3. Step 3: Cross multiply
    467,629x = 1,013,954 × 1,013,954
  4. Step 4: Simplify right side
    467,629x = 1,028,102,714,116
  5. Step 5: Solve for x
    x = 1,028,102,714,116/467,629
  6. Step 6: Final answer
    x = 2,198,543.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.