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Finding the Third Proportional to 1,025,106 and 1,629,209.25

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Solution

The third proportional to 1,025,106 and 1,629,209.25 is: 2,589,315.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025,106 : 1,629,209.25 = 1,629,209.25 : x
  2. Step 2: Convert to fraction form
    1,025,106/1,629,209.25 = 1,629,209.25/x
  3. Step 3: Cross multiply
    1,025,106x = 1,629,209.25 × 1,629,209.25
  4. Step 4: Simplify right side
    1,025,106x = 2,654,322,780,285.56
  5. Step 5: Solve for x
    x = 2,654,322,780,285.56/1,025,106
  6. Step 6: Final answer
    x = 2,589,315.43

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Why These Related Problems?

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