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Finding the Third Proportional to 670,351 and 1,428,401

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Solution

The third proportional to 670,351 and 1,428,401 is: 3,043,673.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,351 : 1,428,401 = 1,428,401 : x
  2. Step 2: Convert to fraction form
    670,351/1,428,401 = 1,428,401/x
  3. Step 3: Cross multiply
    670,351x = 1,428,401 × 1,428,401
  4. Step 4: Simplify right side
    670,351x = 2,040,329,416,801
  5. Step 5: Solve for x
    x = 2,040,329,416,801/670,351
  6. Step 6: Final answer
    x = 3,043,673.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.