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Finding the Third Proportional to 874,903 and 1,819,643

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Solution

The third proportional to 874,903 and 1,819,643 is: 3,784,534.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,903 : 1,819,643 = 1,819,643 : x
  2. Step 2: Convert to fraction form
    874,903/1,819,643 = 1,819,643/x
  3. Step 3: Cross multiply
    874,903x = 1,819,643 × 1,819,643
  4. Step 4: Simplify right side
    874,903x = 3,311,100,647,449
  5. Step 5: Solve for x
    x = 3,311,100,647,449/874,903
  6. Step 6: Final answer
    x = 3,784,534.57

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.