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Finding the Third Proportional to 624,914 and 1,338,399

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Solution

The third proportional to 624,914 and 1,338,399 is: 2,866,493.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,914 : 1,338,399 = 1,338,399 : x
  2. Step 2: Convert to fraction form
    624,914/1,338,399 = 1,338,399/x
  3. Step 3: Cross multiply
    624,914x = 1,338,399 × 1,338,399
  4. Step 4: Simplify right side
    624,914x = 1,791,311,883,201
  5. Step 5: Solve for x
    x = 1,791,311,883,201/624,914
  6. Step 6: Final answer
    x = 2,866,493.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.