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Finding the Third Proportional to 1,025,107 and 1,629,210

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Solution

The third proportional to 1,025,107 and 1,629,210 is: 2,589,315.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025,107 : 1,629,210 = 1,629,210 : x
  2. Step 2: Convert to fraction form
    1,025,107/1,629,210 = 1,629,210/x
  3. Step 3: Cross multiply
    1,025,107x = 1,629,210 × 1,629,210
  4. Step 4: Simplify right side
    1,025,107x = 2,654,325,224,100
  5. Step 5: Solve for x
    x = 2,654,325,224,100/1,025,107
  6. Step 6: Final answer
    x = 2,589,315.29

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.