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Finding the Third Proportional to 1,782,903 and 2,825,439

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Solution

The third proportional to 1,782,903 and 2,825,439 is: 4,477,588.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782,903 : 2,825,439 = 2,825,439 : x
  2. Step 2: Convert to fraction form
    1,782,903/2,825,439 = 2,825,439/x
  3. Step 3: Cross multiply
    1,782,903x = 2,825,439 × 2,825,439
  4. Step 4: Simplify right side
    1,782,903x = 7,983,105,542,721
  5. Step 5: Solve for x
    x = 7,983,105,542,721/1,782,903
  6. Step 6: Final answer
    x = 4,477,588.26

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.