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Finding the Third Proportional to 1,028,172 and 2,180,760

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Solution

The third proportional to 1,028,172 and 2,180,760 is: 4,625,407.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028,172 : 2,180,760 = 2,180,760 : x
  2. Step 2: Convert to fraction form
    1,028,172/2,180,760 = 2,180,760/x
  3. Step 3: Cross multiply
    1,028,172x = 2,180,760 × 2,180,760
  4. Step 4: Simplify right side
    1,028,172x = 4,755,714,177,600
  5. Step 5: Solve for x
    x = 4,755,714,177,600/1,028,172
  6. Step 6: Final answer
    x = 4,625,407.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.