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Finding the Third Proportional to 874,851 and 1,819,503

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Solution

The third proportional to 874,851 and 1,819,503 is: 3,784,177.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,851 : 1,819,503 = 1,819,503 : x
  2. Step 2: Convert to fraction form
    874,851/1,819,503 = 1,819,503/x
  3. Step 3: Cross multiply
    874,851x = 1,819,503 × 1,819,503
  4. Step 4: Simplify right side
    874,851x = 3,310,591,167,009
  5. Step 5: Solve for x
    x = 3,310,591,167,009/874,851
  6. Step 6: Final answer
    x = 3,784,177.15

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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.